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Finding the Fourth Proportional to 429,430.70, 642,833.85 and 334,952.30

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Solution

The fourth proportional to 429,430.70, 642,833.85 and 334,952.30 is: 501,404.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,430.70 : 642,833.85 = 334,952.30 : x
  2. Step 2: Convert to fraction form
    429,430.70/642,833.85 = 334,952.30/x
  3. Step 3: Cross multiply
    429,430.70x = 642,833.85 × 334,952.30
  4. Step 4: Simplify right side
    429,430.70x = 215,318,676,575.36
  5. Step 5: Solve for x
    x = 215,318,676,575.36/429,430.70
  6. Step 6: Final answer
    x = 501,404.95

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1.5x scale

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.