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Finding the Fourth Proportional to 307,250.70, 460,876.05 and 305,282.40

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Solution

The fourth proportional to 307,250.70, 460,876.05 and 305,282.40 is: 457,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,250.70 : 460,876.05 = 305,282.40 : x
  2. Step 2: Convert to fraction form
    307,250.70/460,876.05 = 305,282.40/x
  3. Step 3: Cross multiply
    307,250.70x = 460,876.05 × 305,282.40
  4. Step 4: Simplify right side
    307,250.70x = 140,697,346,646.52
  5. Step 5: Solve for x
    x = 140,697,346,646.52/307,250.70
  6. Step 6: Final answer
    x = 457,923.60

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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.