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Finding the Fourth Proportional to 403,668, 557,061.84 and 224,820

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Solution

The fourth proportional to 403,668, 557,061.84 and 224,820 is: 310,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,668 : 557,061.84 = 224,820 : x
  2. Step 2: Convert to fraction form
    403,668/557,061.84 = 224,820/x
  3. Step 3: Cross multiply
    403,668x = 557,061.84 × 224,820
  4. Step 4: Simplify right side
    403,668x = 125,238,642,868.80
  5. Step 5: Solve for x
    x = 125,238,642,868.80/403,668
  6. Step 6: Final answer
    x = 310,251.60

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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.