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Finding the Fourth Proportional to 875,131, 1,207,681.86 and 472,723

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Solution

The fourth proportional to 875,131, 1,207,681.86 and 472,723 is: 652,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,131 : 1,207,681.86 = 472,723 : x
  2. Step 2: Convert to fraction form
    875,131/1,207,681.86 = 472,723/x
  3. Step 3: Cross multiply
    875,131x = 1,207,681.86 × 472,723
  4. Step 4: Simplify right side
    875,131x = 570,898,991,904.78
  5. Step 5: Solve for x
    x = 570,898,991,904.78/875,131
  6. Step 6: Final answer
    x = 652,358.32

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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.