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Finding the Fourth Proportional to 286,704.17, 395,661.90 and 157,652.46

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Solution

The fourth proportional to 286,704.17, 395,661.90 and 157,652.46 is: 217,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,704.17 : 395,661.90 = 157,652.46 : x
  2. Step 2: Convert to fraction form
    286,704.17/395,661.90 = 157,652.46/x
  3. Step 3: Cross multiply
    286,704.17x = 395,661.90 × 157,652.46
  4. Step 4: Simplify right side
    286,704.17x = 62,377,071,863.27
  5. Step 5: Solve for x
    x = 62,377,071,863.27/286,704.17
  6. Step 6: Final answer
    x = 217,565.98

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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.