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Finding the Fourth Proportional to 408,972.80, 564,368.64 and 230,090.24

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Solution

The fourth proportional to 408,972.80, 564,368.64 and 230,090.24 is: 317,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,972.80 : 564,368.64 = 230,090.24 : x
  2. Step 2: Convert to fraction form
    408,972.80/564,368.64 = 230,090.24/x
  3. Step 3: Cross multiply
    408,972.80x = 564,368.64 × 230,090.24
  4. Step 4: Simplify right side
    408,972.80x = 129,855,715,826.07
  5. Step 5: Solve for x
    x = 129,855,715,826.07/408,972.80
  6. Step 6: Final answer
    x = 317,516.75

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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.