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Finding the Fourth Proportional to 345,298.32, 517,947.48 and 325,806.48

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Solution

The fourth proportional to 345,298.32, 517,947.48 and 325,806.48 is: 488,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,298.32 : 517,947.48 = 325,806.48 : x
  2. Step 2: Convert to fraction form
    345,298.32/517,947.48 = 325,806.48/x
  3. Step 3: Cross multiply
    345,298.32x = 517,947.48 × 325,806.48
  4. Step 4: Simplify right side
    345,298.32x = 168,750,645,283.67
  5. Step 5: Solve for x
    x = 168,750,645,283.67/345,298.32
  6. Step 6: Final answer
    x = 488,709.72

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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.