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Finding the Fourth Proportional to 541,808.64, 812,713.32 and 318,724.08

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Solution

The fourth proportional to 541,808.64, 812,713.32 and 318,724.08 is: 478,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,808.64 : 812,713.32 = 318,724.08 : x
  2. Step 2: Convert to fraction form
    541,808.64/812,713.32 = 318,724.08/x
  3. Step 3: Cross multiply
    541,808.64x = 812,713.32 × 318,724.08
  4. Step 4: Simplify right side
    541,808.64x = 259,031,305,220.75
  5. Step 5: Solve for x
    x = 259,031,305,220.75/541,808.64
  6. Step 6: Final answer
    x = 478,086.33

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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.