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Finding the Fourth Proportional to 477,224.19, 715,836.42 and 140,264.87

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Solution

The fourth proportional to 477,224.19, 715,836.42 and 140,264.87 is: 210,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,224.19 : 715,836.42 = 140,264.87 : x
  2. Step 2: Convert to fraction form
    477,224.19/715,836.42 = 140,264.87/x
  3. Step 3: Cross multiply
    477,224.19x = 715,836.42 × 140,264.87
  4. Step 4: Simplify right side
    477,224.19x = 100,406,702,392.57
  5. Step 5: Solve for x
    x = 100,406,702,392.57/477,224.19
  6. Step 6: Final answer
    x = 210,397.34

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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.