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Finding the Fourth Proportional to 499,478.80, 749,909.40 and 394,416.40

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Solution

The fourth proportional to 499,478.80, 749,909.40 and 394,416.40 is: 592,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,478.80 : 749,909.40 = 394,416.40 : x
  2. Step 2: Convert to fraction form
    499,478.80/749,909.40 = 394,416.40/x
  3. Step 3: Cross multiply
    499,478.80x = 749,909.40 × 394,416.40
  4. Step 4: Simplify right side
    499,478.80x = 295,776,565,874.16
  5. Step 5: Solve for x
    x = 295,776,565,874.16/499,478.80
  6. Step 6: Final answer
    x = 592,170.41

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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.