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Finding the Fourth Proportional to 525,509.30, 725,202.82 and 283,791.86

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Solution

The fourth proportional to 525,509.30, 725,202.82 and 283,791.86 is: 391,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,509.30 : 725,202.82 = 283,791.86 : x
  2. Step 2: Convert to fraction form
    525,509.30/725,202.82 = 283,791.86/x
  3. Step 3: Cross multiply
    525,509.30x = 725,202.82 × 283,791.86
  4. Step 4: Simplify right side
    525,509.30x = 205,806,657,165.05
  5. Step 5: Solve for x
    x = 205,806,657,165.05/525,509.30
  6. Step 6: Final answer
    x = 391,632.76

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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.