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Finding the Fourth Proportional to 285,488.20, 427,822.70 and 210,019.40

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Solution

The fourth proportional to 285,488.20, 427,822.70 and 210,019.40 is: 314,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,488.20 : 427,822.70 = 210,019.40 : x
  2. Step 2: Convert to fraction form
    285,488.20/427,822.70 = 210,019.40/x
  3. Step 3: Cross multiply
    285,488.20x = 427,822.70 × 210,019.40
  4. Step 4: Simplify right side
    285,488.20x = 89,851,066,760.38
  5. Step 5: Solve for x
    x = 89,851,066,760.38/285,488.20
  6. Step 6: Final answer
    x = 314,727.78

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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.