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Finding the Fourth Proportional to 280,468.32, 387,046.26 and 153,144.02

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Solution

The fourth proportional to 280,468.32, 387,046.26 and 153,144.02 is: 211,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,468.32 : 387,046.26 = 153,144.02 : x
  2. Step 2: Convert to fraction form
    280,468.32/387,046.26 = 153,144.02/x
  3. Step 3: Cross multiply
    280,468.32x = 387,046.26 × 153,144.02
  4. Step 4: Simplify right side
    280,468.32x = 59,273,818,247.13
  5. Step 5: Solve for x
    x = 59,273,818,247.13/280,468.32
  6. Step 6: Final answer
    x = 211,338.73

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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.