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Finding the Fourth Proportional to 525,839.68, 725,807.41 and 311,054.41

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Solution

The fourth proportional to 525,839.68, 725,807.41 and 311,054.41 is: 429,343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,839.68 : 725,807.41 = 311,054.41 : x
  2. Step 2: Convert to fraction form
    525,839.68/725,807.41 = 311,054.41/x
  3. Step 3: Cross multiply
    525,839.68x = 725,807.41 × 311,054.41
  4. Step 4: Simplify right side
    525,839.68x = 225,765,595,691.18
  5. Step 5: Solve for x
    x = 225,765,595,691.18/525,839.68
  6. Step 6: Final answer
    x = 429,343.02

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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.