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Finding the Fourth Proportional to 393,461.74, 590,218.65 and 112,981.42

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Solution

The fourth proportional to 393,461.74, 590,218.65 and 112,981.42 is: 169,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,461.74 : 590,218.65 = 112,981.42 : x
  2. Step 2: Convert to fraction form
    393,461.74/590,218.65 = 112,981.42/x
  3. Step 3: Cross multiply
    393,461.74x = 590,218.65 × 112,981.42
  4. Step 4: Simplify right side
    393,461.74x = 66,683,741,187.48
  5. Step 5: Solve for x
    x = 66,683,741,187.48/393,461.74
  6. Step 6: Final answer
    x = 169,479.61

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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.