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Finding the Fourth Proportional to 460,387.61, 690,621.92 and 140,611.66

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Solution

The fourth proportional to 460,387.61, 690,621.92 and 140,611.66 is: 210,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,387.61 : 690,621.92 = 140,611.66 : x
  2. Step 2: Convert to fraction form
    460,387.61/690,621.92 = 140,611.66/x
  3. Step 3: Cross multiply
    460,387.61x = 690,621.92 × 140,611.66
  4. Step 4: Simplify right side
    460,387.61x = 97,109,492,701.27
  5. Step 5: Solve for x
    x = 97,109,492,701.27/460,387.61
  6. Step 6: Final answer
    x = 210,929.86

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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.