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Finding the Fourth Proportional to 564,362.56, 778,829.70 and 309,737.44

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Solution

The fourth proportional to 564,362.56, 778,829.70 and 309,737.44 is: 427,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,362.56 : 778,829.70 = 309,737.44 : x
  2. Step 2: Convert to fraction form
    564,362.56/778,829.70 = 309,737.44/x
  3. Step 3: Cross multiply
    564,362.56x = 778,829.70 × 309,737.44
  4. Step 4: Simplify right side
    564,362.56x = 241,232,717,473.97
  5. Step 5: Solve for x
    x = 241,232,717,473.97/564,362.56
  6. Step 6: Final answer
    x = 427,442.81

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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.