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Finding the Fourth Proportional to 280,088.57, 420,319.65 and 145,276.90

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Solution

The fourth proportional to 280,088.57, 420,319.65 and 145,276.90 is: 218,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,088.57 : 420,319.65 = 145,276.90 : x
  2. Step 2: Convert to fraction form
    280,088.57/420,319.65 = 145,276.90/x
  3. Step 3: Cross multiply
    280,088.57x = 420,319.65 × 145,276.90
  4. Step 4: Simplify right side
    280,088.57x = 61,062,735,761.09
  5. Step 5: Solve for x
    x = 61,062,735,761.09/280,088.57
  6. Step 6: Final answer
    x = 218,012.24

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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.