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Finding the Fourth Proportional to 286,753.42, 395,726.21 and 157,683.77

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Solution

The fourth proportional to 286,753.42, 395,726.21 and 157,683.77 is: 217,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,753.42 : 395,726.21 = 157,683.77 : x
  2. Step 2: Convert to fraction form
    286,753.42/395,726.21 = 157,683.77/x
  3. Step 3: Cross multiply
    286,753.42x = 395,726.21 × 157,683.77
  4. Step 4: Simplify right side
    286,753.42x = 62,399,600,680.61
  5. Step 5: Solve for x
    x = 62,399,600,680.61/286,753.42
  6. Step 6: Final answer
    x = 217,607.17

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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.