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Finding the Fourth Proportional to 402,425.60, 602,947.20 and 191,609.60

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Solution

The fourth proportional to 402,425.60, 602,947.20 and 191,609.60 is: 287,085.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,425.60 : 602,947.20 = 191,609.60 : x
  2. Step 2: Convert to fraction form
    402,425.60/602,947.20 = 191,609.60/x
  3. Step 3: Cross multiply
    402,425.60x = 602,947.20 × 191,609.60
  4. Step 4: Simplify right side
    402,425.60x = 115,530,471,813.12
  5. Step 5: Solve for x
    x = 115,530,471,813.12/402,425.60
  6. Step 6: Final answer
    x = 287,085.29

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1.5x scale

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.