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Finding the Fourth Proportional to 372,412, 513,924.24 and 202,643.20

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Solution

The fourth proportional to 372,412, 513,924.24 and 202,643.20 is: 279,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,412 : 513,924.24 = 202,643.20 : x
  2. Step 2: Convert to fraction form
    372,412/513,924.24 = 202,643.20/x
  3. Step 3: Cross multiply
    372,412x = 513,924.24 × 202,643.20
  4. Step 4: Simplify right side
    372,412x = 104,143,252,551.17
  5. Step 5: Solve for x
    x = 104,143,252,551.17/372,412
  6. Step 6: Final answer
    x = 279,645.27

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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.