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Finding the Fourth Proportional to 566,021.80, 781,081.86 and 311,366.44

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Solution

The fourth proportional to 566,021.80, 781,081.86 and 311,366.44 is: 429,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,021.80 : 781,081.86 = 311,366.44 : x
  2. Step 2: Convert to fraction form
    566,021.80/781,081.86 = 311,366.44/x
  3. Step 3: Cross multiply
    566,021.80x = 781,081.86 × 311,366.44
  4. Step 4: Simplify right side
    566,021.80x = 243,202,678,096.78
  5. Step 5: Solve for x
    x = 243,202,678,096.78/566,021.80
  6. Step 6: Final answer
    x = 429,670.16

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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.