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Finding the Fourth Proportional to 561,270.16, 840,560.28 and 409,059.28

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Solution

The fourth proportional to 561,270.16, 840,560.28 and 409,059.28 is: 612,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,270.16 : 840,560.28 = 409,059.28 : x
  2. Step 2: Convert to fraction form
    561,270.16/840,560.28 = 409,059.28/x
  3. Step 3: Cross multiply
    561,270.16x = 840,560.28 × 409,059.28
  4. Step 4: Simplify right side
    561,270.16x = 343,838,982,933.40
  5. Step 5: Solve for x
    x = 343,838,982,933.40/561,270.16
  6. Step 6: Final answer
    x = 612,608.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.