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Finding the Fourth Proportional to 523,457.88, 722,187.92 and 342,275.87

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Solution

The fourth proportional to 523,457.88, 722,187.92 and 342,275.87 is: 472,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,457.88 : 722,187.92 = 342,275.87 : x
  2. Step 2: Convert to fraction form
    523,457.88/722,187.92 = 342,275.87/x
  3. Step 3: Cross multiply
    523,457.88x = 722,187.92 × 342,275.87
  4. Step 4: Simplify right side
    523,457.88x = 247,187,493,299.17
  5. Step 5: Solve for x
    x = 247,187,493,299.17/523,457.88
  6. Step 6: Final answer
    x = 472,220.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.