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Finding the Fourth Proportional to 564,274.90, 778,699.36 and 322,562.87

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Solution

The fourth proportional to 564,274.90, 778,699.36 and 322,562.87 is: 445,136.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,274.90 : 778,699.36 = 322,562.87 : x
  2. Step 2: Convert to fraction form
    564,274.90/778,699.36 = 322,562.87/x
  3. Step 3: Cross multiply
    564,274.90x = 778,699.36 × 322,562.87
  4. Step 4: Simplify right side
    564,274.90x = 251,179,496,535.27
  5. Step 5: Solve for x
    x = 251,179,496,535.27/564,274.90
  6. Step 6: Final answer
    x = 445,136.76

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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.