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Finding the Fourth Proportional to 498,870.87, 688,441.68 and 269,428.29

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Solution

The fourth proportional to 498,870.87, 688,441.68 and 269,428.29 is: 371,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,870.87 : 688,441.68 = 269,428.29 : x
  2. Step 2: Convert to fraction form
    498,870.87/688,441.68 = 269,428.29/x
  3. Step 3: Cross multiply
    498,870.87x = 688,441.68 × 269,428.29
  4. Step 4: Simplify right side
    498,870.87x = 185,485,664,607.13
  5. Step 5: Solve for x
    x = 185,485,664,607.13/498,870.87
  6. Step 6: Final answer
    x = 371,810.98

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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.