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Finding the Fourth Proportional to 649,532.80, 972,916.80 and 538,940.80

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Solution

The fourth proportional to 649,532.80, 972,916.80 and 538,940.80 is: 807,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,532.80 : 972,916.80 = 538,940.80 : x
  2. Step 2: Convert to fraction form
    649,532.80/972,916.80 = 538,940.80/x
  3. Step 3: Cross multiply
    649,532.80x = 972,916.80 × 538,940.80
  4. Step 4: Simplify right side
    649,532.80x = 524,344,558,525.44
  5. Step 5: Solve for x
    x = 524,344,558,525.44/649,532.80
  6. Step 6: Final answer
    x = 807,264.17

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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.