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Finding the Fourth Proportional to 314,112, 471,319.20 and 156,354.24

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Solution

The fourth proportional to 314,112, 471,319.20 and 156,354.24 is: 234,606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,112 : 471,319.20 = 156,354.24 : x
  2. Step 2: Convert to fraction form
    314,112/471,319.20 = 156,354.24/x
  3. Step 3: Cross multiply
    314,112x = 471,319.20 × 156,354.24
  4. Step 4: Simplify right side
    314,112x = 73,692,755,313.41
  5. Step 5: Solve for x
    x = 73,692,755,313.41/314,112
  6. Step 6: Final answer
    x = 234,606.62

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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.