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Finding the Fourth Proportional to 408,000.16, 562,805.64 and 254,772.28

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Solution

The fourth proportional to 408,000.16, 562,805.64 and 254,772.28 is: 351,439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,000.16 : 562,805.64 = 254,772.28 : x
  2. Step 2: Convert to fraction form
    408,000.16/562,805.64 = 254,772.28/x
  3. Step 3: Cross multiply
    408,000.16x = 562,805.64 × 254,772.28
  4. Step 4: Simplify right side
    408,000.16x = 143,387,276,099.66
  5. Step 5: Solve for x
    x = 143,387,276,099.66/408,000.16
  6. Step 6: Final answer
    x = 351,439.26

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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.