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Finding the Fourth Proportional to 768,553.61, 1,152,872.42 and 319,319.87

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Solution

The fourth proportional to 768,553.61, 1,152,872.42 and 319,319.87 is: 478,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,553.61 : 1,152,872.42 = 319,319.87 : x
  2. Step 2: Convert to fraction form
    768,553.61/1,152,872.42 = 319,319.87/x
  3. Step 3: Cross multiply
    768,553.61x = 1,152,872.42 × 319,319.87
  4. Step 4: Simplify right side
    768,553.61x = 368,135,063,920.02
  5. Step 5: Solve for x
    x = 368,135,063,920.02/768,553.61
  6. Step 6: Final answer
    x = 478,997.25

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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.