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Finding the Fourth Proportional to 564,506.60, 779,027.94 and 309,881

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Solution

The fourth proportional to 564,506.60, 779,027.94 and 309,881 is: 427,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,506.60 : 779,027.94 = 309,881 : x
  2. Step 2: Convert to fraction form
    564,506.60/779,027.94 = 309,881/x
  3. Step 3: Cross multiply
    564,506.60x = 779,027.94 × 309,881
  4. Step 4: Simplify right side
    564,506.60x = 241,405,957,075.14
  5. Step 5: Solve for x
    x = 241,405,957,075.14/564,506.60
  6. Step 6: Final answer
    x = 427,640.63

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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.