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Finding the Fourth Proportional to 566,310.49, 781,514 and 311,667.55

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Solution

The fourth proportional to 566,310.49, 781,514 and 311,667.55 is: 430,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,310.49 : 781,514 = 311,667.55 : x
  2. Step 2: Convert to fraction form
    566,310.49/781,514 = 311,667.55/x
  3. Step 3: Cross multiply
    566,310.49x = 781,514 × 311,667.55
  4. Step 4: Simplify right side
    566,310.49x = 243,572,553,670.70
  5. Step 5: Solve for x
    x = 243,572,553,670.70/566,310.49
  6. Step 6: Final answer
    x = 430,104.26

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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.