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Finding the Fourth Proportional to 280,981.88, 387,754.98 and 153,657.56

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Solution

The fourth proportional to 280,981.88, 387,754.98 and 153,657.56 is: 212,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,981.88 : 387,754.98 = 153,657.56 : x
  2. Step 2: Convert to fraction form
    280,981.88/387,754.98 = 153,657.56/x
  3. Step 3: Cross multiply
    280,981.88x = 387,754.98 × 153,657.56
  4. Step 4: Simplify right side
    280,981.88x = 59,581,484,104.65
  5. Step 5: Solve for x
    x = 59,581,484,104.65/280,981.88
  6. Step 6: Final answer
    x = 212,047.42

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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.