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Finding the Fourth Proportional to 875,084, 1,207,616.40 and 472,676

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Solution

The fourth proportional to 875,084, 1,207,616.40 and 472,676 is: 652,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,084 : 1,207,616.40 = 472,676 : x
  2. Step 2: Convert to fraction form
    875,084/1,207,616.40 = 472,676/x
  3. Step 3: Cross multiply
    875,084x = 1,207,616.40 × 472,676
  4. Step 4: Simplify right side
    875,084x = 570,811,289,486.40
  5. Step 5: Solve for x
    x = 570,811,289,486.40/875,084
  6. Step 6: Final answer
    x = 652,293.14

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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.