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Finding the Fourth Proportional to 283,407.12, 391,102.13 and 154,345.79

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Solution

The fourth proportional to 283,407.12, 391,102.13 and 154,345.79 is: 212,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,407.12 : 391,102.13 = 154,345.79 : x
  2. Step 2: Convert to fraction form
    283,407.12/391,102.13 = 154,345.79/x
  3. Step 3: Cross multiply
    283,407.12x = 391,102.13 × 154,345.79
  4. Step 4: Simplify right side
    283,407.12x = 60,364,967,225.53
  5. Step 5: Solve for x
    x = 60,364,967,225.53/283,407.12
  6. Step 6: Final answer
    x = 212,997.36

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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.