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Finding the Fourth Proportional to 286,870.29, 429,911.78 and 181,500.63

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Solution

The fourth proportional to 286,870.29, 429,911.78 and 181,500.63 is: 272,001.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,870.29 : 429,911.78 = 181,500.63 : x
  2. Step 2: Convert to fraction form
    286,870.29/429,911.78 = 181,500.63/x
  3. Step 3: Cross multiply
    286,870.29x = 429,911.78 × 181,500.63
  4. Step 4: Simplify right side
    286,870.29x = 78,029,258,006.92
  5. Step 5: Solve for x
    x = 78,029,258,006.92/286,870.29
  6. Step 6: Final answer
    x = 272,001.88

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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.