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Finding the Fourth Proportional to 418,281.61, 577,228.18 and 227,294.54

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Solution

The fourth proportional to 418,281.61, 577,228.18 and 227,294.54 is: 313,666.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,281.61 : 577,228.18 = 227,294.54 : x
  2. Step 2: Convert to fraction form
    418,281.61/577,228.18 = 227,294.54/x
  3. Step 3: Cross multiply
    418,281.61x = 577,228.18 × 227,294.54
  4. Step 4: Simplify right side
    418,281.61x = 131,200,813,648.14
  5. Step 5: Solve for x
    x = 131,200,813,648.14/418,281.61
  6. Step 6: Final answer
    x = 313,666.23

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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.