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Finding the Fourth Proportional to 497,997.90, 747,774.45 and 288,045.90

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Solution

The fourth proportional to 497,997.90, 747,774.45 and 288,045.90 is: 432,518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,997.90 : 747,774.45 = 288,045.90 : x
  2. Step 2: Convert to fraction form
    497,997.90/747,774.45 = 288,045.90/x
  3. Step 3: Cross multiply
    497,997.90x = 747,774.45 × 288,045.90
  4. Step 4: Simplify right side
    497,997.90x = 215,393,364,447.26
  5. Step 5: Solve for x
    x = 215,393,364,447.26/497,997.90
  6. Step 6: Final answer
    x = 432,518.62

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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.