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Finding the Fourth Proportional to 486,375, 729,565.74 and 153,951

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Solution

The fourth proportional to 486,375, 729,565.74 and 153,951 is: 230,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,375 : 729,565.74 = 153,951 : x
  2. Step 2: Convert to fraction form
    486,375/729,565.74 = 153,951/x
  3. Step 3: Cross multiply
    486,375x = 729,565.74 × 153,951
  4. Step 4: Simplify right side
    486,375x = 112,317,375,238.74
  5. Step 5: Solve for x
    x = 112,317,375,238.74/486,375
  6. Step 6: Final answer
    x = 230,927.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.