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Finding the Fourth Proportional to 285,158.50, 393,505.29 and 156,094.42

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Solution

The fourth proportional to 285,158.50, 393,505.29 and 156,094.42 is: 215,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,158.50 : 393,505.29 = 156,094.42 : x
  2. Step 2: Convert to fraction form
    285,158.50/393,505.29 = 156,094.42/x
  3. Step 3: Cross multiply
    285,158.50x = 393,505.29 × 156,094.42
  4. Step 4: Simplify right side
    285,158.50x = 61,423,980,009.48
  5. Step 5: Solve for x
    x = 61,423,980,009.48/285,158.50
  6. Step 6: Final answer
    x = 215,402.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.