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Finding the Fourth Proportional to 280,240.77, 386,729.06 and 152,918.49

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Solution

The fourth proportional to 280,240.77, 386,729.06 and 152,918.49 is: 211,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,240.77 : 386,729.06 = 152,918.49 : x
  2. Step 2: Convert to fraction form
    280,240.77/386,729.06 = 152,918.49/x
  3. Step 3: Cross multiply
    280,240.77x = 386,729.06 × 152,918.49
  4. Step 4: Simplify right side
    280,240.77x = 59,138,023,129.73
  5. Step 5: Solve for x
    x = 59,138,023,129.73/280,240.77
  6. Step 6: Final answer
    x = 211,025.77

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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.