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Finding the Fourth Proportional to 408,437.21, 563,657.72 and 227,156.78

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Solution

The fourth proportional to 408,437.21, 563,657.72 and 227,156.78 is: 313,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,437.21 : 563,657.72 = 227,156.78 : x
  2. Step 2: Convert to fraction form
    408,437.21/563,657.72 = 227,156.78/x
  3. Step 3: Cross multiply
    408,437.21x = 563,657.72 × 227,156.78
  4. Step 4: Simplify right side
    408,437.21x = 128,038,668,743.27
  5. Step 5: Solve for x
    x = 128,038,668,743.27/408,437.21
  6. Step 6: Final answer
    x = 313,484.34

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1.5x scale

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.