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Finding the Fourth Proportional to 280,203.69, 386,682.36 and 152,881.95

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Solution

The fourth proportional to 280,203.69, 386,682.36 and 152,881.95 is: 210,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,203.69 : 386,682.36 = 152,881.95 : x
  2. Step 2: Convert to fraction form
    280,203.69/386,682.36 = 152,881.95/x
  3. Step 3: Cross multiply
    280,203.69x = 386,682.36 × 152,881.95
  4. Step 4: Simplify right side
    280,203.69x = 59,116,753,227.40
  5. Step 5: Solve for x
    x = 59,116,753,227.40/280,203.69
  6. Step 6: Final answer
    x = 210,977.78

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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.