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Finding the Fourth Proportional to 402,789.87, 604,184.85 and 191,788.11

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Solution

The fourth proportional to 402,789.87, 604,184.85 and 191,788.11 is: 287,682.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,789.87 : 604,184.85 = 191,788.11 : x
  2. Step 2: Convert to fraction form
    402,789.87/604,184.85 = 191,788.11/x
  3. Step 3: Cross multiply
    402,789.87x = 604,184.85 × 191,788.11
  4. Step 4: Simplify right side
    402,789.87x = 115,875,470,472.13
  5. Step 5: Solve for x
    x = 115,875,470,472.13/402,789.87
  6. Step 6: Final answer
    x = 287,682.19

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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.