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Finding the Fourth Proportional to 472,402.10, 708,689.55 and 191,947.70

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Solution

The fourth proportional to 472,402.10, 708,689.55 and 191,947.70 is: 287,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,402.10 : 708,689.55 = 191,947.70 : x
  2. Step 2: Convert to fraction form
    472,402.10/708,689.55 = 191,947.70/x
  3. Step 3: Cross multiply
    472,402.10x = 708,689.55 × 191,947.70
  4. Step 4: Simplify right side
    472,402.10x = 136,031,329,136.54
  5. Step 5: Solve for x
    x = 136,031,329,136.54/472,402.10
  6. Step 6: Final answer
    x = 287,956.66

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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.