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Finding the Fourth Proportional to 314,830.81, 434,475.62 and 171,600.13

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Solution

The fourth proportional to 314,830.81, 434,475.62 and 171,600.13 is: 236,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,830.81 : 434,475.62 = 171,600.13 : x
  2. Step 2: Convert to fraction form
    314,830.81/434,475.62 = 171,600.13/x
  3. Step 3: Cross multiply
    314,830.81x = 434,475.62 × 171,600.13
  4. Step 4: Simplify right side
    314,830.81x = 74,556,072,873.83
  5. Step 5: Solve for x
    x = 74,556,072,873.83/314,830.81
  6. Step 6: Final answer
    x = 236,813.14

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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.