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Finding the Fourth Proportional to 262,580.70, 393,352.65 and 157,086.30

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Solution

The fourth proportional to 262,580.70, 393,352.65 and 157,086.30 is: 235,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,580.70 : 393,352.65 = 157,086.30 : x
  2. Step 2: Convert to fraction form
    262,580.70/393,352.65 = 157,086.30/x
  3. Step 3: Cross multiply
    262,580.70x = 393,352.65 × 157,086.30
  4. Step 4: Simplify right side
    262,580.70x = 61,790,312,383.70
  5. Step 5: Solve for x
    x = 61,790,312,383.70/262,580.70
  6. Step 6: Final answer
    x = 235,319.32

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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.