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Finding the Fourth Proportional to 564,816.25, 779,451.89 and 310,172.91

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Solution

The fourth proportional to 564,816.25, 779,451.89 and 310,172.91 is: 428,041.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,816.25 : 779,451.89 = 310,172.91 : x
  2. Step 2: Convert to fraction form
    564,816.25/779,451.89 = 310,172.91/x
  3. Step 3: Cross multiply
    564,816.25x = 779,451.89 × 310,172.91
  4. Step 4: Simplify right side
    564,816.25x = 241,764,860,926.30
  5. Step 5: Solve for x
    x = 241,764,860,926.30/564,816.25
  6. Step 6: Final answer
    x = 428,041.62

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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.