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Finding the Fourth Proportional to 307,349.91, 460,914.03 and 129,870.68

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Solution

The fourth proportional to 307,349.91, 460,914.03 and 129,870.68 is: 194,759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,349.91 : 460,914.03 = 129,870.68 : x
  2. Step 2: Convert to fraction form
    307,349.91/460,914.03 = 129,870.68/x
  3. Step 3: Cross multiply
    307,349.91x = 460,914.03 × 129,870.68
  4. Step 4: Simplify right side
    307,349.91x = 59,859,216,193.07
  5. Step 5: Solve for x
    x = 59,859,216,193.07/307,349.91
  6. Step 6: Final answer
    x = 194,759.18

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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.