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Finding the Fourth Proportional to 875,112, 1,207,655.04 and 472,704

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Solution

The fourth proportional to 875,112, 1,207,655.04 and 472,704 is: 652,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,112 : 1,207,655.04 = 472,704 : x
  2. Step 2: Convert to fraction form
    875,112/1,207,655.04 = 472,704/x
  3. Step 3: Cross multiply
    875,112x = 1,207,655.04 × 472,704
  4. Step 4: Simplify right side
    875,112x = 570,863,368,028.16
  5. Step 5: Solve for x
    x = 570,863,368,028.16/875,112
  6. Step 6: Final answer
    x = 652,331.78

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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.