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Finding the Fourth Proportional to 400,780.58, 553,078.06 and 217,021.17

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Solution

The fourth proportional to 400,780.58, 553,078.06 and 217,021.17 is: 299,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,780.58 : 553,078.06 = 217,021.17 : x
  2. Step 2: Convert to fraction form
    400,780.58/553,078.06 = 217,021.17/x
  3. Step 3: Cross multiply
    400,780.58x = 553,078.06 × 217,021.17
  4. Step 4: Simplify right side
    400,780.58x = 120,029,646,597.42
  5. Step 5: Solve for x
    x = 120,029,646,597.42/400,780.58
  6. Step 6: Final answer
    x = 299,489.68

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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.