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Finding the Fourth Proportional to 569,313.18, 785,638.50 and 311,178.54

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Solution

The fourth proportional to 569,313.18, 785,638.50 and 311,178.54 is: 429,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,313.18 : 785,638.50 = 311,178.54 : x
  2. Step 2: Convert to fraction form
    569,313.18/785,638.50 = 311,178.54/x
  3. Step 3: Cross multiply
    569,313.18x = 785,638.50 × 311,178.54
  4. Step 4: Simplify right side
    569,313.18x = 244,473,841,397.79
  5. Step 5: Solve for x
    x = 244,473,841,397.79/569,313.18
  6. Step 6: Final answer
    x = 429,418.90

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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.