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Finding the Fourth Proportional to 312,996.64, 468,693.60 and 172,599.52

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Solution

The fourth proportional to 312,996.64, 468,693.60 and 172,599.52 is: 258,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,996.64 : 468,693.60 = 172,599.52 : x
  2. Step 2: Convert to fraction form
    312,996.64/468,693.60 = 172,599.52/x
  3. Step 3: Cross multiply
    312,996.64x = 468,693.60 × 172,599.52
  4. Step 4: Simplify right side
    312,996.64x = 80,896,290,387.07
  5. Step 5: Solve for x
    x = 80,896,290,387.07/312,996.64
  6. Step 6: Final answer
    x = 258,457.38

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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.