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Finding the Fourth Proportional to 429,644.32, 644,678.24 and 193,158.88

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Solution

The fourth proportional to 429,644.32, 644,678.24 and 193,158.88 is: 289,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,644.32 : 644,678.24 = 193,158.88 : x
  2. Step 2: Convert to fraction form
    429,644.32/644,678.24 = 193,158.88/x
  3. Step 3: Cross multiply
    429,644.32x = 644,678.24 × 193,158.88
  4. Step 4: Simplify right side
    429,644.32x = 124,525,326,798.77
  5. Step 5: Solve for x
    x = 124,525,326,798.77/429,644.32
  6. Step 6: Final answer
    x = 289,833.52

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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.