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Finding the Fourth Proportional to 429,776.64, 642,874.86 and 397,890.18

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Solution

The fourth proportional to 429,776.64, 642,874.86 and 397,890.18 is: 595,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,776.64 : 642,874.86 = 397,890.18 : x
  2. Step 2: Convert to fraction form
    429,776.64/642,874.86 = 397,890.18/x
  3. Step 3: Cross multiply
    429,776.64x = 642,874.86 × 397,890.18
  4. Step 4: Simplify right side
    429,776.64x = 255,793,593,762.88
  5. Step 5: Solve for x
    x = 255,793,593,762.88/429,776.64
  6. Step 6: Final answer
    x = 595,177.98

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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.