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Finding the Fourth Proportional to 408,047.40, 571,856.85 and 408,047.40

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Solution

The fourth proportional to 408,047.40, 571,856.85 and 408,047.40 is: 571,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.40 : 571,856.85 = 408,047.40 : x
  2. Step 2: Convert to fraction form
    408,047.40/571,856.85 = 408,047.40/x
  3. Step 3: Cross multiply
    408,047.40x = 571,856.85 × 408,047.40
  4. Step 4: Simplify right side
    408,047.40x = 233,344,700,814.69
  5. Step 5: Solve for x
    x = 233,344,700,814.69/408,047.40
  6. Step 6: Final answer
    x = 571,856.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.