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Finding the Fourth Proportional to 488,889.60, 732,459.60 and 413,656.80

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Solution

The fourth proportional to 488,889.60, 732,459.60 and 413,656.80 is: 619,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,889.60 : 732,459.60 = 413,656.80 : x
  2. Step 2: Convert to fraction form
    488,889.60/732,459.60 = 413,656.80/x
  3. Step 3: Cross multiply
    488,889.60x = 732,459.60 × 413,656.80
  4. Step 4: Simplify right side
    488,889.60x = 302,986,894,265.28
  5. Step 5: Solve for x
    x = 302,986,894,265.28/488,889.60
  6. Step 6: Final answer
    x = 619,745.02

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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.