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Finding the Fourth Proportional to 372,174.72, 513,595.80 and 202,405.20

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Solution

The fourth proportional to 372,174.72, 513,595.80 and 202,405.20 is: 279,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,174.72 : 513,595.80 = 202,405.20 : x
  2. Step 2: Convert to fraction form
    372,174.72/513,595.80 = 202,405.20/x
  3. Step 3: Cross multiply
    372,174.72x = 513,595.80 × 202,405.20
  4. Step 4: Simplify right side
    372,174.72x = 103,954,460,618.16
  5. Step 5: Solve for x
    x = 103,954,460,618.16/372,174.72
  6. Step 6: Final answer
    x = 279,316.29

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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.