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Finding the Fourth Proportional to 462,078.30, 693,139.05 and 146,559.90

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Solution

The fourth proportional to 462,078.30, 693,139.05 and 146,559.90 is: 219,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,078.30 : 693,139.05 = 146,559.90 : x
  2. Step 2: Convert to fraction form
    462,078.30/693,139.05 = 146,559.90/x
  3. Step 3: Cross multiply
    462,078.30x = 693,139.05 × 146,559.90
  4. Step 4: Simplify right side
    462,078.30x = 101,586,389,854.10
  5. Step 5: Solve for x
    x = 101,586,389,854.10/462,078.30
  6. Step 6: Final answer
    x = 219,846.70

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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.