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Finding the Fourth Proportional to 498,507.70, 747,808.05 and 386,313.82

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Solution

The fourth proportional to 498,507.70, 747,808.05 and 386,313.82 is: 579,506.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,507.70 : 747,808.05 = 386,313.82 : x
  2. Step 2: Convert to fraction form
    498,507.70/747,808.05 = 386,313.82/x
  3. Step 3: Cross multiply
    498,507.70x = 747,808.05 × 386,313.82
  4. Step 4: Simplify right side
    498,507.70x = 288,888,584,422.25
  5. Step 5: Solve for x
    x = 288,888,584,422.25/498,507.70
  6. Step 6: Final answer
    x = 579,506.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.