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Finding the Fourth Proportional to 429,661.12, 644,557.20 and 219,184.24

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Solution

The fourth proportional to 429,661.12, 644,557.20 and 219,184.24 is: 328,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,661.12 : 644,557.20 = 219,184.24 : x
  2. Step 2: Convert to fraction form
    429,661.12/644,557.20 = 219,184.24/x
  3. Step 3: Cross multiply
    429,661.12x = 644,557.20 × 219,184.24
  4. Step 4: Simplify right side
    429,661.12x = 141,276,780,018.53
  5. Step 5: Solve for x
    x = 141,276,780,018.53/429,661.12
  6. Step 6: Final answer
    x = 328,809.78

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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.