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Finding the Fourth Proportional to 569,212.18, 785,529.06 and 311,103.46

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Solution

The fourth proportional to 569,212.18, 785,529.06 and 311,103.46 is: 429,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,212.18 : 785,529.06 = 311,103.46 : x
  2. Step 2: Convert to fraction form
    569,212.18/785,529.06 = 311,103.46/x
  3. Step 3: Cross multiply
    569,212.18x = 785,529.06 × 311,103.46
  4. Step 4: Simplify right side
    569,212.18x = 244,380,808,496.55
  5. Step 5: Solve for x
    x = 244,380,808,496.55/569,212.18
  6. Step 6: Final answer
    x = 429,331.66

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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.