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Finding the Fourth Proportional to 525,432.78, 725,098.02 and 299,078.28

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Solution

The fourth proportional to 525,432.78, 725,098.02 and 299,078.28 is: 412,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,432.78 : 725,098.02 = 299,078.28 : x
  2. Step 2: Convert to fraction form
    525,432.78/725,098.02 = 299,078.28/x
  3. Step 3: Cross multiply
    525,432.78x = 725,098.02 × 299,078.28
  4. Step 4: Simplify right side
    525,432.78x = 216,861,068,653.01
  5. Step 5: Solve for x
    x = 216,861,068,653.01/525,432.78
  6. Step 6: Final answer
    x = 412,728.47

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1.5x scale

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.