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Finding the Fourth Proportional to 564,221.48, 778,676.10 and 309,622.28

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Solution

The fourth proportional to 564,221.48, 778,676.10 and 309,622.28 is: 427,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,221.48 : 778,676.10 = 309,622.28 : x
  2. Step 2: Convert to fraction form
    564,221.48/778,676.10 = 309,622.28/x
  3. Step 3: Cross multiply
    564,221.48x = 778,676.10 × 309,622.28
  4. Step 4: Simplify right side
    564,221.48x = 241,095,469,463.51
  5. Step 5: Solve for x
    x = 241,095,469,463.51/564,221.48
  6. Step 6: Final answer
    x = 427,306.44

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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.