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Finding the Fourth Proportional to 569,016.29, 785,233.32 and 310,887.70

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Solution

The fourth proportional to 569,016.29, 785,233.32 and 310,887.70 is: 429,020.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,016.29 : 785,233.32 = 310,887.70 : x
  2. Step 2: Convert to fraction form
    569,016.29/785,233.32 = 310,887.70/x
  3. Step 3: Cross multiply
    569,016.29x = 785,233.32 × 310,887.70
  4. Step 4: Simplify right side
    569,016.29x = 244,119,380,818.16
  5. Step 5: Solve for x
    x = 244,119,380,818.16/569,016.29
  6. Step 6: Final answer
    x = 429,020.02

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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.