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Finding the Fourth Proportional to 399,374.64, 598,909.32 and 133,084.08

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Solution

The fourth proportional to 399,374.64, 598,909.32 and 133,084.08 is: 199,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,374.64 : 598,909.32 = 133,084.08 : x
  2. Step 2: Convert to fraction form
    399,374.64/598,909.32 = 133,084.08/x
  3. Step 3: Cross multiply
    399,374.64x = 598,909.32 × 133,084.08
  4. Step 4: Simplify right side
    399,374.64x = 79,705,295,855.63
  5. Step 5: Solve for x
    x = 79,705,295,855.63/399,374.64
  6. Step 6: Final answer
    x = 199,575.26

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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.