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Finding the Fourth Proportional to 393,476.40, 590,506.20 and 156,988.80

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Solution

The fourth proportional to 393,476.40, 590,506.20 and 156,988.80 is: 235,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,476.40 : 590,506.20 = 156,988.80 : x
  2. Step 2: Convert to fraction form
    393,476.40/590,506.20 = 156,988.80/x
  3. Step 3: Cross multiply
    393,476.40x = 590,506.20 × 156,988.80
  4. Step 4: Simplify right side
    393,476.40x = 92,702,859,730.56
  5. Step 5: Solve for x
    x = 92,702,859,730.56/393,476.40
  6. Step 6: Final answer
    x = 235,599.54

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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.