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Finding the Fourth Proportional to 288,314.40, 432,471.60 and 267,319.20

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Solution

The fourth proportional to 288,314.40, 432,471.60 and 267,319.20 is: 400,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,314.40 : 432,471.60 = 267,319.20 : x
  2. Step 2: Convert to fraction form
    288,314.40/432,471.60 = 267,319.20/x
  3. Step 3: Cross multiply
    288,314.40x = 432,471.60 × 267,319.20
  4. Step 4: Simplify right side
    288,314.40x = 115,607,962,134.72
  5. Step 5: Solve for x
    x = 115,607,962,134.72/288,314.40
  6. Step 6: Final answer
    x = 400,978.80

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1.5x scale

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.