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Finding the Fourth Proportional to 418,758.64, 577,898.80 and 227,784.24

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Solution

The fourth proportional to 418,758.64, 577,898.80 and 227,784.24 is: 314,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,758.64 : 577,898.80 = 227,784.24 : x
  2. Step 2: Convert to fraction form
    418,758.64/577,898.80 = 227,784.24/x
  3. Step 3: Cross multiply
    418,758.64x = 577,898.80 × 227,784.24
  4. Step 4: Simplify right side
    418,758.64x = 131,636,238,954.91
  5. Step 5: Solve for x
    x = 131,636,238,954.91/418,758.64
  6. Step 6: Final answer
    x = 314,348.71

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1.5x scale

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.