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Finding the Fourth Proportional to 522,646.04, 783,875.31 and 138,397.32

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Solution

The fourth proportional to 522,646.04, 783,875.31 and 138,397.32 is: 207,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,646.04 : 783,875.31 = 138,397.32 : x
  2. Step 2: Convert to fraction form
    522,646.04/783,875.31 = 138,397.32/x
  3. Step 3: Cross multiply
    522,646.04x = 783,875.31 × 138,397.32
  4. Step 4: Simplify right side
    522,646.04x = 108,486,244,077.86
  5. Step 5: Solve for x
    x = 108,486,244,077.86/522,646.04
  6. Step 6: Final answer
    x = 207,571.16

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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.