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Finding the Fourth Proportional to 307,221.13, 460,909.45 and 85,605.13

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Solution

The fourth proportional to 307,221.13, 460,909.45 and 85,605.13 is: 128,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,221.13 : 460,909.45 = 85,605.13 : x
  2. Step 2: Convert to fraction form
    307,221.13/460,909.45 = 85,605.13/x
  3. Step 3: Cross multiply
    307,221.13x = 460,909.45 × 85,605.13
  4. Step 4: Simplify right side
    307,221.13x = 39,456,211,080.93
  5. Step 5: Solve for x
    x = 39,456,211,080.93/307,221.13
  6. Step 6: Final answer
    x = 128,429.36

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1.5x scale

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.