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Finding the Fourth Proportional to 646,898.94, 970,315.20 and 247,509

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Solution

The fourth proportional to 646,898.94, 970,315.20 and 247,509 is: 371,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,898.94 : 970,315.20 = 247,509 : x
  2. Step 2: Convert to fraction form
    646,898.94/970,315.20 = 247,509/x
  3. Step 3: Cross multiply
    646,898.94x = 970,315.20 × 247,509
  4. Step 4: Simplify right side
    646,898.94x = 240,161,744,836.80
  5. Step 5: Solve for x
    x = 240,161,744,836.80/646,898.94
  6. Step 6: Final answer
    x = 371,250.79

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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.