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Finding the Fourth Proportional to 488,311.20, 732,466.80 and 409,579.20

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Solution

The fourth proportional to 488,311.20, 732,466.80 and 409,579.20 is: 614,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,311.20 : 732,466.80 = 409,579.20 : x
  2. Step 2: Convert to fraction form
    488,311.20/732,466.80 = 409,579.20/x
  3. Step 3: Cross multiply
    488,311.20x = 732,466.80 × 409,579.20
  4. Step 4: Simplify right side
    488,311.20x = 300,003,165,970.56
  5. Step 5: Solve for x
    x = 300,003,165,970.56/488,311.20
  6. Step 6: Final answer
    x = 614,368.80

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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.