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Finding the Fourth Proportional to 498,316.83, 687,667.64 and 271,963.95

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Solution

The fourth proportional to 498,316.83, 687,667.64 and 271,963.95 is: 375,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,316.83 : 687,667.64 = 271,963.95 : x
  2. Step 2: Convert to fraction form
    498,316.83/687,667.64 = 271,963.95/x
  3. Step 3: Cross multiply
    498,316.83x = 687,667.64 × 271,963.95
  4. Step 4: Simplify right side
    498,316.83x = 187,020,806,301.76
  5. Step 5: Solve for x
    x = 187,020,806,301.76/498,316.83
  6. Step 6: Final answer
    x = 375,305.02

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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.