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Finding the Fourth Proportional to 408,002.16, 562,808.40 and 254,774.28

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Solution

The fourth proportional to 408,002.16, 562,808.40 and 254,774.28 is: 351,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,002.16 : 562,808.40 = 254,774.28 : x
  2. Step 2: Convert to fraction form
    408,002.16/562,808.40 = 254,774.28/x
  3. Step 3: Cross multiply
    408,002.16x = 562,808.40 × 254,774.28
  4. Step 4: Simplify right side
    408,002.16x = 143,389,104,887.95
  5. Step 5: Solve for x
    x = 143,389,104,887.95/408,002.16
  6. Step 6: Final answer
    x = 351,442.02

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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.