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Finding the Fourth Proportional to 283,158, 390,765.88 and 154,097.66

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Solution

The fourth proportional to 283,158, 390,765.88 and 154,097.66 is: 212,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,158 : 390,765.88 = 154,097.66 : x
  2. Step 2: Convert to fraction form
    283,158/390,765.88 = 154,097.66/x
  3. Step 3: Cross multiply
    283,158x = 390,765.88 × 154,097.66
  4. Step 4: Simplify right side
    283,158x = 60,216,107,715.84
  5. Step 5: Solve for x
    x = 60,216,107,715.84/283,158
  6. Step 6: Final answer
    x = 212,659.04

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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.