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Finding the Fourth Proportional to 652,447.60, 978,339.30 and 253,202.92

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Solution

The fourth proportional to 652,447.60, 978,339.30 and 253,202.92 is: 379,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,447.60 : 978,339.30 = 253,202.92 : x
  2. Step 2: Convert to fraction form
    652,447.60/978,339.30 = 253,202.92/x
  3. Step 3: Cross multiply
    652,447.60x = 978,339.30 × 253,202.92
  4. Step 4: Simplify right side
    652,447.60x = 247,718,367,510.76
  5. Step 5: Solve for x
    x = 247,718,367,510.76/652,447.60
  6. Step 6: Final answer
    x = 379,675.50

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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.