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Finding the Fourth Proportional to 314,314.71, 433,948.10 and 216,365.19

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Solution

The fourth proportional to 314,314.71, 433,948.10 and 216,365.19 is: 298,717.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,314.71 : 433,948.10 = 216,365.19 : x
  2. Step 2: Convert to fraction form
    314,314.71/433,948.10 = 216,365.19/x
  3. Step 3: Cross multiply
    314,314.71x = 433,948.10 × 216,365.19
  4. Step 4: Simplify right side
    314,314.71x = 93,891,262,024.81
  5. Step 5: Solve for x
    x = 93,891,262,024.81/314,314.71
  6. Step 6: Final answer
    x = 298,717.37

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.