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Finding the Fourth Proportional to 279,742.59, 386,033.94 and 152,419.14

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Solution

The fourth proportional to 279,742.59, 386,033.94 and 152,419.14 is: 210,332.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,742.59 : 386,033.94 = 152,419.14 : x
  2. Step 2: Convert to fraction form
    279,742.59/386,033.94 = 152,419.14/x
  3. Step 3: Cross multiply
    279,742.59x = 386,033.94 × 152,419.14
  4. Step 4: Simplify right side
    279,742.59x = 58,838,961,145.61
  5. Step 5: Solve for x
    x = 58,838,961,145.61/279,742.59
  6. Step 6: Final answer
    x = 210,332.51

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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.