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Finding the Fourth Proportional to 564,719.76, 779,325.84 and 310,071.96

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Solution

The fourth proportional to 564,719.76, 779,325.84 and 310,071.96 is: 427,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,719.76 : 779,325.84 = 310,071.96 : x
  2. Step 2: Convert to fraction form
    564,719.76/779,325.84 = 310,071.96/x
  3. Step 3: Cross multiply
    564,719.76x = 779,325.84 × 310,071.96
  4. Step 4: Simplify right side
    564,719.76x = 241,647,090,687.45
  5. Step 5: Solve for x
    x = 241,647,090,687.45/564,719.76
  6. Step 6: Final answer
    x = 427,906.21

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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.