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Finding the Fourth Proportional to 309,637.16, 427,390 and 202,223.88

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Solution

The fourth proportional to 309,637.16, 427,390 and 202,223.88 is: 279,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,637.16 : 427,390 = 202,223.88 : x
  2. Step 2: Convert to fraction form
    309,637.16/427,390 = 202,223.88/x
  3. Step 3: Cross multiply
    309,637.16x = 427,390 × 202,223.88
  4. Step 4: Simplify right side
    309,637.16x = 86,428,464,073.20
  5. Step 5: Solve for x
    x = 86,428,464,073.20/309,637.16
  6. Step 6: Final answer
    x = 279,128.20

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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.