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Finding the Fourth Proportional to 488,271.20, 732,406.80 and 409,539.20

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Solution

The fourth proportional to 488,271.20, 732,406.80 and 409,539.20 is: 614,308.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,271.20 : 732,406.80 = 409,539.20 : x
  2. Step 2: Convert to fraction form
    488,271.20/732,406.80 = 409,539.20/x
  3. Step 3: Cross multiply
    488,271.20x = 732,406.80 × 409,539.20
  4. Step 4: Simplify right side
    488,271.20x = 299,949,294,946.56
  5. Step 5: Solve for x
    x = 299,949,294,946.56/488,271.20
  6. Step 6: Final answer
    x = 614,308.80

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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.