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Finding the Fourth Proportional to 280,468.82, 387,047.45 and 153,141.70

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Solution

The fourth proportional to 280,468.82, 387,047.45 and 153,141.70 is: 211,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,468.82 : 387,047.45 = 153,141.70 : x
  2. Step 2: Convert to fraction form
    280,468.82/387,047.45 = 153,141.70/x
  3. Step 3: Cross multiply
    280,468.82x = 387,047.45 × 153,141.70
  4. Step 4: Simplify right side
    280,468.82x = 59,273,104,473.67
  5. Step 5: Solve for x
    x = 59,273,104,473.67/280,468.82
  6. Step 6: Final answer
    x = 211,335.81

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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.