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Finding the Fourth Proportional to 429,519.92, 643,535.68 and 260,686.48

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Solution

The fourth proportional to 429,519.92, 643,535.68 and 260,686.48 is: 390,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,519.92 : 643,535.68 = 260,686.48 : x
  2. Step 2: Convert to fraction form
    429,519.92/643,535.68 = 260,686.48/x
  3. Step 3: Cross multiply
    429,519.92x = 643,535.68 × 260,686.48
  4. Step 4: Simplify right side
    429,519.92x = 167,761,051,173.61
  5. Step 5: Solve for x
    x = 167,761,051,173.61/429,519.92
  6. Step 6: Final answer
    x = 390,578.05

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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.