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Finding the Fourth Proportional to 498,950.53, 688,552 and 269,507.81

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Solution

The fourth proportional to 498,950.53, 688,552 and 269,507.81 is: 371,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,950.53 : 688,552 = 269,507.81 : x
  2. Step 2: Convert to fraction form
    498,950.53/688,552 = 269,507.81/x
  3. Step 3: Cross multiply
    498,950.53x = 688,552 × 269,507.81
  4. Step 4: Simplify right side
    498,950.53x = 185,570,141,591.12
  5. Step 5: Solve for x
    x = 185,570,141,591.12/498,950.53
  6. Step 6: Final answer
    x = 371,920.92

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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.