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Finding the Fourth Proportional to 283,061.74, 390,628.31 and 154,000.96

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Solution

The fourth proportional to 283,061.74, 390,628.31 and 154,000.96 is: 212,523.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,061.74 : 390,628.31 = 154,000.96 : x
  2. Step 2: Convert to fraction form
    283,061.74/390,628.31 = 154,000.96/x
  3. Step 3: Cross multiply
    283,061.74x = 390,628.31 × 154,000.96
  4. Step 4: Simplify right side
    283,061.74x = 60,157,132,020.03
  5. Step 5: Solve for x
    x = 60,157,132,020.03/283,061.74
  6. Step 6: Final answer
    x = 212,523.01

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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.