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Finding the Fourth Proportional to 399,657.98, 599,527.32 and 129,774.83

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Solution

The fourth proportional to 399,657.98, 599,527.32 and 129,774.83 is: 194,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,657.98 : 599,527.32 = 129,774.83 : x
  2. Step 2: Convert to fraction form
    399,657.98/599,527.32 = 129,774.83/x
  3. Step 3: Cross multiply
    399,657.98x = 599,527.32 × 129,774.83
  4. Step 4: Simplify right side
    399,657.98x = 77,803,557,532.17
  5. Step 5: Solve for x
    x = 77,803,557,532.17/399,657.98
  6. Step 6: Final answer
    x = 194,675.35

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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.