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Finding the Fourth Proportional to 508,578, 701,859.51 and 282,223.50

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Solution

The fourth proportional to 508,578, 701,859.51 and 282,223.50 is: 389,480.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,578 : 701,859.51 = 282,223.50 : x
  2. Step 2: Convert to fraction form
    508,578/701,859.51 = 282,223.50/x
  3. Step 3: Cross multiply
    508,578x = 701,859.51 × 282,223.50
  4. Step 4: Simplify right side
    508,578x = 198,081,247,420.49
  5. Step 5: Solve for x
    x = 198,081,247,420.49/508,578
  6. Step 6: Final answer
    x = 389,480.57

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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.