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Finding the Fourth Proportional to 564,218.30, 778,622.20 and 309,571.32

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Solution

The fourth proportional to 564,218.30, 778,622.20 and 309,571.32 is: 427,208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,218.30 : 778,622.20 = 309,571.32 : x
  2. Step 2: Convert to fraction form
    564,218.30/778,622.20 = 309,571.32/x
  3. Step 3: Cross multiply
    564,218.30x = 778,622.20 × 309,571.32
  4. Step 4: Simplify right side
    564,218.30x = 241,039,102,235.30
  5. Step 5: Solve for x
    x = 241,039,102,235.30/564,218.30
  6. Step 6: Final answer
    x = 427,208.94

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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.