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Finding the Fourth Proportional to 307,778.30, 460,617.15 and 257,914.70

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Solution

The fourth proportional to 307,778.30, 460,617.15 and 257,914.70 is: 385,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,778.30 : 460,617.15 = 257,914.70 : x
  2. Step 2: Convert to fraction form
    307,778.30/460,617.15 = 257,914.70/x
  3. Step 3: Cross multiply
    307,778.30x = 460,617.15 × 257,914.70
  4. Step 4: Simplify right side
    307,778.30x = 118,799,934,057.11
  5. Step 5: Solve for x
    x = 118,799,934,057.11/307,778.30
  6. Step 6: Final answer
    x = 385,991.91

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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.