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Finding the Fourth Proportional to 498,729.81, 688,247.94 and 283,869.90

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Solution

The fourth proportional to 498,729.81, 688,247.94 and 283,869.90 is: 391,740.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,729.81 : 688,247.94 = 283,869.90 : x
  2. Step 2: Convert to fraction form
    498,729.81/688,247.94 = 283,869.90/x
  3. Step 3: Cross multiply
    498,729.81x = 688,247.94 × 283,869.90
  4. Step 4: Simplify right side
    498,729.81x = 195,372,873,903.01
  5. Step 5: Solve for x
    x = 195,372,873,903.01/498,729.81
  6. Step 6: Final answer
    x = 391,740.92

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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.