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Finding the Fourth Proportional to 286,879.68, 429,869.76 and 181,476

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Solution

The fourth proportional to 286,879.68, 429,869.76 and 181,476 is: 271,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,879.68 : 429,869.76 = 181,476 : x
  2. Step 2: Convert to fraction form
    286,879.68/429,869.76 = 181,476/x
  3. Step 3: Cross multiply
    286,879.68x = 429,869.76 × 181,476
  4. Step 4: Simplify right side
    286,879.68x = 78,011,044,565.76
  5. Step 5: Solve for x
    x = 78,011,044,565.76/286,879.68
  6. Step 6: Final answer
    x = 271,929.49

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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.