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Finding the Fourth Proportional to 517,493.53, 714,140.98 and 288,045.90

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Solution

The fourth proportional to 517,493.53, 714,140.98 and 288,045.90 is: 397,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,493.53 : 714,140.98 = 288,045.90 : x
  2. Step 2: Convert to fraction form
    517,493.53/714,140.98 = 288,045.90/x
  3. Step 3: Cross multiply
    517,493.53x = 714,140.98 × 288,045.90
  4. Step 4: Simplify right side
    517,493.53x = 205,705,379,870.75
  5. Step 5: Solve for x
    x = 205,705,379,870.75/517,493.53
  6. Step 6: Final answer
    x = 397,503.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.