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Finding the Fourth Proportional to 564,068.21, 778,470.04 and 322,385.47

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Solution

The fourth proportional to 564,068.21, 778,470.04 and 322,385.47 is: 444,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,068.21 : 778,470.04 = 322,385.47 : x
  2. Step 2: Convert to fraction form
    564,068.21/778,470.04 = 322,385.47/x
  3. Step 3: Cross multiply
    564,068.21x = 778,470.04 × 322,385.47
  4. Step 4: Simplify right side
    564,068.21x = 250,967,428,183.13
  5. Step 5: Solve for x
    x = 250,967,428,183.13/564,068.21
  6. Step 6: Final answer
    x = 444,923.90

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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.