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Finding the Fourth Proportional to 714,132, 985,502.16 and 396,180

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Solution

The fourth proportional to 714,132, 985,502.16 and 396,180 is: 546,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,132 : 985,502.16 = 396,180 : x
  2. Step 2: Convert to fraction form
    714,132/985,502.16 = 396,180/x
  3. Step 3: Cross multiply
    714,132x = 985,502.16 × 396,180
  4. Step 4: Simplify right side
    714,132x = 390,436,245,748.80
  5. Step 5: Solve for x
    x = 390,436,245,748.80/714,132
  6. Step 6: Final answer
    x = 546,728.40

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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.