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Finding the Fourth Proportional to 385,772.19, 532,347.12 and 213,678.54

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Solution

The fourth proportional to 385,772.19, 532,347.12 and 213,678.54 is: 294,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,772.19 : 532,347.12 = 213,678.54 : x
  2. Step 2: Convert to fraction form
    385,772.19/532,347.12 = 213,678.54/x
  3. Step 3: Cross multiply
    385,772.19x = 532,347.12 × 213,678.54
  4. Step 4: Simplify right side
    385,772.19x = 113,751,155,374.81
  5. Step 5: Solve for x
    x = 113,751,155,374.81/385,772.19
  6. Step 6: Final answer
    x = 294,866.14

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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.