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Finding the Fourth Proportional to 486,005.60, 729,008.40 and 366,255.20

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Solution

The fourth proportional to 486,005.60, 729,008.40 and 366,255.20 is: 549,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,005.60 : 729,008.40 = 366,255.20 : x
  2. Step 2: Convert to fraction form
    486,005.60/729,008.40 = 366,255.20/x
  3. Step 3: Cross multiply
    486,005.60x = 729,008.40 × 366,255.20
  4. Step 4: Simplify right side
    486,005.60x = 267,003,117,343.68
  5. Step 5: Solve for x
    x = 267,003,117,343.68/486,005.60
  6. Step 6: Final answer
    x = 549,382.80

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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.