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Finding the Fourth Proportional to 875,120, 1,207,666.24 and 472,712

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Solution

The fourth proportional to 875,120, 1,207,666.24 and 472,712 is: 652,342.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,120 : 1,207,666.24 = 472,712 : x
  2. Step 2: Convert to fraction form
    875,120/1,207,666.24 = 472,712/x
  3. Step 3: Cross multiply
    875,120x = 1,207,666.24 × 472,712
  4. Step 4: Simplify right side
    875,120x = 570,878,323,642.88
  5. Step 5: Solve for x
    x = 570,878,323,642.88/875,120
  6. Step 6: Final answer
    x = 652,342.91

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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.