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Finding the Fourth Proportional to 280,891.76, 387,632.37 and 151,829.96

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Solution

The fourth proportional to 280,891.76, 387,632.37 and 151,829.96 is: 209,526.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,891.76 : 387,632.37 = 151,829.96 : x
  2. Step 2: Convert to fraction form
    280,891.76/387,632.37 = 151,829.96/x
  3. Step 3: Cross multiply
    280,891.76x = 387,632.37 × 151,829.96
  4. Step 4: Simplify right side
    280,891.76x = 58,854,205,293.64
  5. Step 5: Solve for x
    x = 58,854,205,293.64/280,891.76
  6. Step 6: Final answer
    x = 209,526.28

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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.