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Finding the Fourth Proportional to 286,870.91, 395,876.23 and 159,543.77

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Solution

The fourth proportional to 286,870.91, 395,876.23 and 159,543.77 is: 220,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,870.91 : 395,876.23 = 159,543.77 : x
  2. Step 2: Convert to fraction form
    286,870.91/395,876.23 = 159,543.77/x
  3. Step 3: Cross multiply
    286,870.91x = 395,876.23 × 159,543.77
  4. Step 4: Simplify right side
    286,870.91x = 63,159,583,809.35
  5. Step 5: Solve for x
    x = 63,159,583,809.35/286,870.91
  6. Step 6: Final answer
    x = 220,167.27

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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.