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Finding the Fourth Proportional to 407,808.30, 611,712.45 and 281,837.10

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Solution

The fourth proportional to 407,808.30, 611,712.45 and 281,837.10 is: 422,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,808.30 : 611,712.45 = 281,837.10 : x
  2. Step 2: Convert to fraction form
    407,808.30/611,712.45 = 281,837.10/x
  3. Step 3: Cross multiply
    407,808.30x = 611,712.45 × 281,837.10
  4. Step 4: Simplify right side
    407,808.30x = 172,403,262,941.90
  5. Step 5: Solve for x
    x = 172,403,262,941.90/407,808.30
  6. Step 6: Final answer
    x = 422,755.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.