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Finding the Fourth Proportional to 279,186.84, 418,430.34 and 138,985.56

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Solution

The fourth proportional to 279,186.84, 418,430.34 and 138,985.56 is: 208,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,186.84 : 418,430.34 = 138,985.56 : x
  2. Step 2: Convert to fraction form
    279,186.84/418,430.34 = 138,985.56/x
  3. Step 3: Cross multiply
    279,186.84x = 418,430.34 × 138,985.56
  4. Step 4: Simplify right side
    279,186.84x = 58,155,775,125.89
  5. Step 5: Solve for x
    x = 58,155,775,125.89/279,186.84
  6. Step 6: Final answer
    x = 208,304.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.