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Finding the Fourth Proportional to 287,971.86, 432,103.56 and 194,280.78

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Solution

The fourth proportional to 287,971.86, 432,103.56 and 194,280.78 is: 291,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,971.86 : 432,103.56 = 194,280.78 : x
  2. Step 2: Convert to fraction form
    287,971.86/432,103.56 = 194,280.78/x
  3. Step 3: Cross multiply
    287,971.86x = 432,103.56 × 194,280.78
  4. Step 4: Simplify right side
    287,971.86x = 83,949,416,677.58
  5. Step 5: Solve for x
    x = 83,949,416,677.58/287,971.86
  6. Step 6: Final answer
    x = 291,519.51

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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.