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Finding the Fourth Proportional to 282,195.47, 389,429.76 and 169,018.22

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Solution

The fourth proportional to 282,195.47, 389,429.76 and 169,018.22 is: 233,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,195.47 : 389,429.76 = 169,018.22 : x
  2. Step 2: Convert to fraction form
    282,195.47/389,429.76 = 169,018.22/x
  3. Step 3: Cross multiply
    282,195.47x = 389,429.76 × 169,018.22
  4. Step 4: Simplify right side
    282,195.47x = 65,820,725,401.26
  5. Step 5: Solve for x
    x = 65,820,725,401.26/282,195.47
  6. Step 6: Final answer
    x = 233,245.15

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1.5x scale

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.