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Finding the Fourth Proportional to 282,037.76, 389,208.48 and 161,177.66

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Solution

The fourth proportional to 282,037.76, 389,208.48 and 161,177.66 is: 222,423.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,037.76 : 389,208.48 = 161,177.66 : x
  2. Step 2: Convert to fraction form
    282,037.76/389,208.48 = 161,177.66/x
  3. Step 3: Cross multiply
    282,037.76x = 389,208.48 × 161,177.66
  4. Step 4: Simplify right side
    282,037.76x = 62,731,712,058.56
  5. Step 5: Solve for x
    x = 62,731,712,058.56/282,037.76
  6. Step 6: Final answer
    x = 222,423.10

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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.