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Finding the Fourth Proportional to 522,931.80, 784,307.42 and 138,683.32

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Solution

The fourth proportional to 522,931.80, 784,307.42 and 138,683.32 is: 208,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,931.80 : 784,307.42 = 138,683.32 : x
  2. Step 2: Convert to fraction form
    522,931.80/784,307.42 = 138,683.32/x
  3. Step 3: Cross multiply
    522,931.80x = 784,307.42 × 138,683.32
  4. Step 4: Simplify right side
    522,931.80x = 108,770,356,906.23
  5. Step 5: Solve for x
    x = 108,770,356,906.23/522,931.80
  6. Step 6: Final answer
    x = 208,001.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.