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Finding the Fourth Proportional to 286,871.32, 429,913.32 and 181,501.66

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Solution

The fourth proportional to 286,871.32, 429,913.32 and 181,501.66 is: 272,003.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,871.32 : 429,913.32 = 181,501.66 : x
  2. Step 2: Convert to fraction form
    286,871.32/429,913.32 = 181,501.66/x
  3. Step 3: Cross multiply
    286,871.32x = 429,913.32 × 181,501.66
  4. Step 4: Simplify right side
    286,871.32x = 78,029,982,113.82
  5. Step 5: Solve for x
    x = 78,029,982,113.82/286,871.32
  6. Step 6: Final answer
    x = 272,003.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.