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Finding the Fourth Proportional to 426,486.86, 639,686.38 and 142,146.70

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Solution

The fourth proportional to 426,486.86, 639,686.38 and 142,146.70 is: 213,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,486.86 : 639,686.38 = 142,146.70 : x
  2. Step 2: Convert to fraction form
    426,486.86/639,686.38 = 142,146.70/x
  3. Step 3: Cross multiply
    426,486.86x = 639,686.38 × 142,146.70
  4. Step 4: Simplify right side
    426,486.86x = 90,929,307,951.95
  5. Step 5: Solve for x
    x = 90,929,307,951.95/426,486.86
  6. Step 6: Final answer
    x = 213,205.41

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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.