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Finding the Fourth Proportional to 564,202.80, 778,600.80 and 309,555.81

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Solution

The fourth proportional to 564,202.80, 778,600.80 and 309,555.81 is: 427,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,202.80 : 778,600.80 = 309,555.81 : x
  2. Step 2: Convert to fraction form
    564,202.80/778,600.80 = 309,555.81/x
  3. Step 3: Cross multiply
    564,202.80x = 778,600.80 × 309,555.81
  4. Step 4: Simplify right side
    564,202.80x = 241,020,401,310.65
  5. Step 5: Solve for x
    x = 241,020,401,310.65/564,202.80
  6. Step 6: Final answer
    x = 427,187.53

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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.