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Finding the Fourth Proportional to 299,569.75, 413,409.05 and 170,501.88

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Solution

The fourth proportional to 299,569.75, 413,409.05 and 170,501.88 is: 235,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,569.75 : 413,409.05 = 170,501.88 : x
  2. Step 2: Convert to fraction form
    299,569.75/413,409.05 = 170,501.88/x
  3. Step 3: Cross multiply
    299,569.75x = 413,409.05 × 170,501.88
  4. Step 4: Simplify right side
    299,569.75x = 70,487,021,571.17
  5. Step 5: Solve for x
    x = 70,487,021,571.17/299,569.75
  6. Step 6: Final answer
    x = 235,294.19

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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.