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Finding the Fourth Proportional to 565,986.16, 781,047.88 and 311,331.92

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Solution

The fourth proportional to 565,986.16, 781,047.88 and 311,331.92 is: 429,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,986.16 : 781,047.88 = 311,331.92 : x
  2. Step 2: Convert to fraction form
    565,986.16/781,047.88 = 311,331.92/x
  3. Step 3: Cross multiply
    565,986.16x = 781,047.88 × 311,331.92
  4. Step 4: Simplify right side
    565,986.16x = 243,165,136,092.33
  5. Step 5: Solve for x
    x = 243,165,136,092.33/565,986.16
  6. Step 6: Final answer
    x = 429,630.89

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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.