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Finding the Fourth Proportional to 525,509.10, 725,202.54 and 283,791.67

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Solution

The fourth proportional to 525,509.10, 725,202.54 and 283,791.67 is: 391,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,509.10 : 725,202.54 = 283,791.67 : x
  2. Step 2: Convert to fraction form
    525,509.10/725,202.54 = 283,791.67/x
  3. Step 3: Cross multiply
    525,509.10x = 725,202.54 × 283,791.67
  4. Step 4: Simplify right side
    525,509.10x = 205,806,438,633.86
  5. Step 5: Solve for x
    x = 205,806,438,633.86/525,509.10
  6. Step 6: Final answer
    x = 391,632.49

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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.