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Finding the Fourth Proportional to 308,830.20, 426,165.86 and 172,841.20

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Solution

The fourth proportional to 308,830.20, 426,165.86 and 172,841.20 is: 238,509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,830.20 : 426,165.86 = 172,841.20 : x
  2. Step 2: Convert to fraction form
    308,830.20/426,165.86 = 172,841.20/x
  3. Step 3: Cross multiply
    308,830.20x = 426,165.86 × 172,841.20
  4. Step 4: Simplify right side
    308,830.20x = 73,659,018,641.43
  5. Step 5: Solve for x
    x = 73,659,018,641.43/308,830.20
  6. Step 6: Final answer
    x = 238,509.77

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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.