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Finding the Fourth Proportional to 429,577.40, 644,366.10 and 413,247.80

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Solution

The fourth proportional to 429,577.40, 644,366.10 and 413,247.80 is: 619,871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,577.40 : 644,366.10 = 413,247.80 : x
  2. Step 2: Convert to fraction form
    429,577.40/644,366.10 = 413,247.80/x
  3. Step 3: Cross multiply
    429,577.40x = 644,366.10 × 413,247.80
  4. Step 4: Simplify right side
    429,577.40x = 266,282,873,219.58
  5. Step 5: Solve for x
    x = 266,282,873,219.58/429,577.40
  6. Step 6: Final answer
    x = 619,871.70

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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.