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Finding the Fourth Proportional to 280,765.30, 387,455.24 and 153,440.90

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Solution

The fourth proportional to 280,765.30, 387,455.24 and 153,440.90 is: 211,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,765.30 : 387,455.24 = 153,440.90 : x
  2. Step 2: Convert to fraction form
    280,765.30/387,455.24 = 153,440.90/x
  3. Step 3: Cross multiply
    280,765.30x = 387,455.24 × 153,440.90
  4. Step 4: Simplify right side
    280,765.30x = 59,451,480,735.32
  5. Step 5: Solve for x
    x = 59,451,480,735.32/280,765.30
  6. Step 6: Final answer
    x = 211,747.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.