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Finding the Fourth Proportional to 283,149.32, 390,583.54 and 176,981

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Solution

The fourth proportional to 283,149.32, 390,583.54 and 176,981 is: 244,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,149.32 : 390,583.54 = 176,981 : x
  2. Step 2: Convert to fraction form
    283,149.32/390,583.54 = 176,981/x
  3. Step 3: Cross multiply
    283,149.32x = 390,583.54 × 176,981
  4. Step 4: Simplify right side
    283,149.32x = 69,125,865,492.74
  5. Step 5: Solve for x
    x = 69,125,865,492.74/283,149.32
  6. Step 6: Final answer
    x = 244,132.20

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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.