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Finding the Fourth Proportional to 429,631.68, 644,454 and 149,157.84

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Solution

The fourth proportional to 429,631.68, 644,454 and 149,157.84 is: 223,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,631.68 : 644,454 = 149,157.84 : x
  2. Step 2: Convert to fraction form
    429,631.68/644,454 = 149,157.84/x
  3. Step 3: Cross multiply
    429,631.68x = 644,454 × 149,157.84
  4. Step 4: Simplify right side
    429,631.68x = 96,125,366,619.36
  5. Step 5: Solve for x
    x = 96,125,366,619.36/429,631.68
  6. Step 6: Final answer
    x = 223,739.01

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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.