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Finding the Fourth Proportional to 400,780.83, 553,078.40 and 217,021.42

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Solution

The fourth proportional to 400,780.83, 553,078.40 and 217,021.42 is: 299,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,780.83 : 553,078.40 = 217,021.42 : x
  2. Step 2: Convert to fraction form
    400,780.83/553,078.40 = 217,021.42/x
  3. Step 3: Cross multiply
    400,780.83x = 553,078.40 × 217,021.42
  4. Step 4: Simplify right side
    400,780.83x = 120,029,859,739.33
  5. Step 5: Solve for x
    x = 120,029,859,739.33/400,780.83
  6. Step 6: Final answer
    x = 299,490.02

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1.5x scale

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.