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Finding the Fourth Proportional to 561,686.49, 842,496.93 and 162,318.42

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Solution

The fourth proportional to 561,686.49, 842,496.93 and 162,318.42 is: 243,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,686.49 : 842,496.93 = 162,318.42 : x
  2. Step 2: Convert to fraction form
    561,686.49/842,496.93 = 162,318.42/x
  3. Step 3: Cross multiply
    561,686.49x = 842,496.93 × 162,318.42
  4. Step 4: Simplify right side
    561,686.49x = 136,752,770,532.45
  5. Step 5: Solve for x
    x = 136,752,770,532.45/561,686.49
  6. Step 6: Final answer
    x = 243,468.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.