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Finding the Fourth Proportional to 564,465.12, 778,976.64 and 322,787.04

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Solution

The fourth proportional to 564,465.12, 778,976.64 and 322,787.04 is: 445,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,465.12 : 778,976.64 = 322,787.04 : x
  2. Step 2: Convert to fraction form
    564,465.12/778,976.64 = 322,787.04/x
  3. Step 3: Cross multiply
    564,465.12x = 778,976.64 × 322,787.04
  4. Step 4: Simplify right side
    564,465.12x = 251,443,563,854.75
  5. Step 5: Solve for x
    x = 251,443,563,854.75/564,465.12
  6. Step 6: Final answer
    x = 445,454.56

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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.