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Finding the Fourth Proportional to 499,284, 689,011.92 and 272,931.12

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Solution

The fourth proportional to 499,284, 689,011.92 and 272,931.12 is: 376,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,284 : 689,011.92 = 272,931.12 : x
  2. Step 2: Convert to fraction form
    499,284/689,011.92 = 272,931.12/x
  3. Step 3: Cross multiply
    499,284x = 689,011.92 × 272,931.12
  4. Step 4: Simplify right side
    499,284x = 188,052,795,018.95
  5. Step 5: Solve for x
    x = 188,052,795,018.95/499,284
  6. Step 6: Final answer
    x = 376,644.95

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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.