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Finding the Fourth Proportional to 306,719.61, 460,173.31 and 157,065.86

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Solution

The fourth proportional to 306,719.61, 460,173.31 and 157,065.86 is: 235,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,719.61 : 460,173.31 = 157,065.86 : x
  2. Step 2: Convert to fraction form
    306,719.61/460,173.31 = 157,065.86/x
  3. Step 3: Cross multiply
    306,719.61x = 460,173.31 × 157,065.86
  4. Step 4: Simplify right side
    306,719.61x = 72,277,513,990.67
  5. Step 5: Solve for x
    x = 72,277,513,990.67/306,719.61
  6. Step 6: Final answer
    x = 235,646.87

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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.