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Finding the Fourth Proportional to 402,136.16, 554,948.58 and 220,859.78

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Solution

The fourth proportional to 402,136.16, 554,948.58 and 220,859.78 is: 304,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,136.16 : 554,948.58 = 220,859.78 : x
  2. Step 2: Convert to fraction form
    402,136.16/554,948.58 = 220,859.78/x
  3. Step 3: Cross multiply
    402,136.16x = 554,948.58 × 220,859.78
  4. Step 4: Simplify right side
    402,136.16x = 122,565,821,290.11
  5. Step 5: Solve for x
    x = 122,565,821,290.11/402,136.16
  6. Step 6: Final answer
    x = 304,786.87

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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.