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Finding the Fourth Proportional to 532,056.60, 734,253.71 and 290,354.78

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Solution

The fourth proportional to 532,056.60, 734,253.71 and 290,354.78 is: 400,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,056.60 : 734,253.71 = 290,354.78 : x
  2. Step 2: Convert to fraction form
    532,056.60/734,253.71 = 290,354.78/x
  3. Step 3: Cross multiply
    532,056.60x = 734,253.71 × 290,354.78
  4. Step 4: Simplify right side
    532,056.60x = 213,194,072,318.16
  5. Step 5: Solve for x
    x = 213,194,072,318.16/532,056.60
  6. Step 6: Final answer
    x = 400,698.11

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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.