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Finding the Fourth Proportional to 390,996.16, 539,572.80 and 212,148.16

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Solution

The fourth proportional to 390,996.16, 539,572.80 and 212,148.16 is: 292,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,996.16 : 539,572.80 = 212,148.16 : x
  2. Step 2: Convert to fraction form
    390,996.16/539,572.80 = 212,148.16/x
  3. Step 3: Cross multiply
    390,996.16x = 539,572.80 × 212,148.16
  4. Step 4: Simplify right side
    390,996.16x = 114,469,376,706.05
  5. Step 5: Solve for x
    x = 114,469,376,706.05/390,996.16
  6. Step 6: Final answer
    x = 292,763.43

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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.