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Finding the Fourth Proportional to 315,798.48, 435,832.38 and 172,580.22

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Solution

The fourth proportional to 315,798.48, 435,832.38 and 172,580.22 is: 238,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,798.48 : 435,832.38 = 172,580.22 : x
  2. Step 2: Convert to fraction form
    315,798.48/435,832.38 = 172,580.22/x
  3. Step 3: Cross multiply
    315,798.48x = 435,832.38 × 172,580.22
  4. Step 4: Simplify right side
    315,798.48x = 75,216,048,023.52
  5. Step 5: Solve for x
    x = 75,216,048,023.52/315,798.48
  6. Step 6: Final answer
    x = 238,177.36

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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.