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Finding the Fourth Proportional to 525,359.28, 725,023.80 and 299,077.68

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Solution

The fourth proportional to 525,359.28, 725,023.80 and 299,077.68 is: 412,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,359.28 : 725,023.80 = 299,077.68 : x
  2. Step 2: Convert to fraction form
    525,359.28/725,023.80 = 299,077.68/x
  3. Step 3: Cross multiply
    525,359.28x = 725,023.80 × 299,077.68
  4. Step 4: Simplify right side
    525,359.28x = 216,838,436,048.78
  5. Step 5: Solve for x
    x = 216,838,436,048.78/525,359.28
  6. Step 6: Final answer
    x = 412,743.13

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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.