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Finding the Fourth Proportional to 442,333.27, 663,331.32 and 157,970.72

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Solution

The fourth proportional to 442,333.27, 663,331.32 and 157,970.72 is: 236,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,333.27 : 663,331.32 = 157,970.72 : x
  2. Step 2: Convert to fraction form
    442,333.27/663,331.32 = 157,970.72/x
  3. Step 3: Cross multiply
    442,333.27x = 663,331.32 × 157,970.72
  4. Step 4: Simplify right side
    442,333.27x = 104,786,927,877.28
  5. Step 5: Solve for x
    x = 104,786,927,877.28/442,333.27
  6. Step 6: Final answer
    x = 236,895.88

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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.