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Finding the Fourth Proportional to 429,715.30, 644,135.55 and 252,130.90

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Solution

The fourth proportional to 429,715.30, 644,135.55 and 252,130.90 is: 377,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,715.30 : 644,135.55 = 252,130.90 : x
  2. Step 2: Convert to fraction form
    429,715.30/644,135.55 = 252,130.90/x
  3. Step 3: Cross multiply
    429,715.30x = 644,135.55 × 252,130.90
  4. Step 4: Simplify right side
    429,715.30x = 162,406,475,943.50
  5. Step 5: Solve for x
    x = 162,406,475,943.50/429,715.30
  6. Step 6: Final answer
    x = 377,939.71

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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.