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Finding the Fourth Proportional to 286,734.54, 395,718.87 and 157,695.74

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Solution

The fourth proportional to 286,734.54, 395,718.87 and 157,695.74 is: 217,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,734.54 : 395,718.87 = 157,695.74 : x
  2. Step 2: Convert to fraction form
    286,734.54/395,718.87 = 157,695.74/x
  3. Step 3: Cross multiply
    286,734.54x = 395,718.87 × 157,695.74
  4. Step 4: Simplify right side
    286,734.54x = 62,403,180,036.61
  5. Step 5: Solve for x
    x = 62,403,180,036.61/286,734.54
  6. Step 6: Final answer
    x = 217,633.98

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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.