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Finding the Fourth Proportional to 306,889.98, 460,039.67 and 157,200.76

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Solution

The fourth proportional to 306,889.98, 460,039.67 and 157,200.76 is: 235,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,889.98 : 460,039.67 = 157,200.76 : x
  2. Step 2: Convert to fraction form
    306,889.98/460,039.67 = 157,200.76/x
  3. Step 3: Cross multiply
    306,889.98x = 460,039.67 × 157,200.76
  4. Step 4: Simplify right side
    306,889.98x = 72,318,585,754.15
  5. Step 5: Solve for x
    x = 72,318,585,754.15/306,889.98
  6. Step 6: Final answer
    x = 235,649.88

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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.