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Finding the Fourth Proportional to 418,902.60, 578,088.12 and 227,917.44

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Solution

The fourth proportional to 418,902.60, 578,088.12 and 227,917.44 is: 314,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,902.60 : 578,088.12 = 227,917.44 : x
  2. Step 2: Convert to fraction form
    418,902.60/578,088.12 = 227,917.44/x
  3. Step 3: Cross multiply
    418,902.60x = 578,088.12 × 227,917.44
  4. Step 4: Simplify right side
    418,902.60x = 131,756,364,404.81
  5. Step 5: Solve for x
    x = 131,756,364,404.81/418,902.60
  6. Step 6: Final answer
    x = 314,527.44

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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.