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Finding the Fourth Proportional to 285,725.40, 394,305.84 and 156,661.20

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Solution

The fourth proportional to 285,725.40, 394,305.84 and 156,661.20 is: 216,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,725.40 : 394,305.84 = 156,661.20 : x
  2. Step 2: Convert to fraction form
    285,725.40/394,305.84 = 156,661.20/x
  3. Step 3: Cross multiply
    285,725.40x = 394,305.84 × 156,661.20
  4. Step 4: Simplify right side
    285,725.40x = 61,772,426,061.41
  5. Step 5: Solve for x
    x = 61,772,426,061.41/285,725.40
  6. Step 6: Final answer
    x = 216,195.08

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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.