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Finding the Fourth Proportional to 280,482.32, 387,061.80 and 153,163.28

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Solution

The fourth proportional to 280,482.32, 387,061.80 and 153,163.28 is: 211,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,482.32 : 387,061.80 = 153,163.28 : x
  2. Step 2: Convert to fraction form
    280,482.32/387,061.80 = 153,163.28/x
  3. Step 3: Cross multiply
    280,482.32x = 387,061.80 × 153,163.28
  4. Step 4: Simplify right side
    280,482.32x = 59,283,654,850.70
  5. Step 5: Solve for x
    x = 59,283,654,850.70/280,482.32
  6. Step 6: Final answer
    x = 211,363.25

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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.