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Finding the Fourth Proportional to 408,400.76, 563,510.46 and 238,602.08

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Solution

The fourth proportional to 408,400.76, 563,510.46 and 238,602.08 is: 329,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,400.76 : 563,510.46 = 238,602.08 : x
  2. Step 2: Convert to fraction form
    408,400.76/563,510.46 = 238,602.08/x
  3. Step 3: Cross multiply
    408,400.76x = 563,510.46 × 238,602.08
  4. Step 4: Simplify right side
    408,400.76x = 134,454,767,857.76
  5. Step 5: Solve for x
    x = 134,454,767,857.76/408,400.76
  6. Step 6: Final answer
    x = 329,222.62

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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.