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Finding the Fourth Proportional to 429,237.05, 642,997.17 and 258,364.92

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Solution

The fourth proportional to 429,237.05, 642,997.17 and 258,364.92 is: 387,030.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,237.05 : 642,997.17 = 258,364.92 : x
  2. Step 2: Convert to fraction form
    429,237.05/642,997.17 = 258,364.92/x
  3. Step 3: Cross multiply
    429,237.05x = 642,997.17 × 258,364.92
  4. Step 4: Simplify right side
    429,237.05x = 166,127,912,387.28
  5. Step 5: Solve for x
    x = 166,127,912,387.28/429,237.05
  6. Step 6: Final answer
    x = 387,030.69

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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.