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Finding the Fourth Proportional to 488,543.20, 732,814.80 and 409,811.20

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Solution

The fourth proportional to 488,543.20, 732,814.80 and 409,811.20 is: 614,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,543.20 : 732,814.80 = 409,811.20 : x
  2. Step 2: Convert to fraction form
    488,543.20/732,814.80 = 409,811.20/x
  3. Step 3: Cross multiply
    488,543.20x = 732,814.80 × 409,811.20
  4. Step 4: Simplify right side
    488,543.20x = 300,315,712,565.76
  5. Step 5: Solve for x
    x = 300,315,712,565.76/488,543.20
  6. Step 6: Final answer
    x = 614,716.80

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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.