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Finding the Fourth Proportional to 315,798.66, 435,805.20 and 172,558.68

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Solution

The fourth proportional to 315,798.66, 435,805.20 and 172,558.68 is: 238,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,798.66 : 435,805.20 = 172,558.68 : x
  2. Step 2: Convert to fraction form
    315,798.66/435,805.20 = 172,558.68/x
  3. Step 3: Cross multiply
    315,798.66x = 435,805.20 × 172,558.68
  4. Step 4: Simplify right side
    315,798.66x = 75,201,970,049.14
  5. Step 5: Solve for x
    x = 75,201,970,049.14/315,798.66
  6. Step 6: Final answer
    x = 238,132.64

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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.