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Finding the Fourth Proportional to 499,285, 689,013.30 and 272,932.12

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Solution

The fourth proportional to 499,285, 689,013.30 and 272,932.12 is: 376,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,285 : 689,013.30 = 272,932.12 : x
  2. Step 2: Convert to fraction form
    499,285/689,013.30 = 272,932.12/x
  3. Step 3: Cross multiply
    499,285x = 689,013.30 × 272,932.12
  4. Step 4: Simplify right side
    499,285x = 188,053,860,677.20
  5. Step 5: Solve for x
    x = 188,053,860,677.20/499,285
  6. Step 6: Final answer
    x = 376,646.33

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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.