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Finding the Fourth Proportional to 280,978.65, 387,757.62 and 153,663.66

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Solution

The fourth proportional to 280,978.65, 387,757.62 and 153,663.66 is: 212,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,978.65 : 387,757.62 = 153,663.66 : x
  2. Step 2: Convert to fraction form
    280,978.65/387,757.62 = 153,663.66/x
  3. Step 3: Cross multiply
    280,978.65x = 387,757.62 × 153,663.66
  4. Step 4: Simplify right side
    280,978.65x = 59,584,255,082.09
  5. Step 5: Solve for x
    x = 59,584,255,082.09/280,978.65
  6. Step 6: Final answer
    x = 212,059.72

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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.