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Finding the Fourth Proportional to 487,084, 730,844.88 and 309,544.96

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Solution

The fourth proportional to 487,084, 730,844.88 and 309,544.96 is: 464,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,084 : 730,844.88 = 309,544.96 : x
  2. Step 2: Convert to fraction form
    487,084/730,844.88 = 309,544.96/x
  3. Step 3: Cross multiply
    487,084x = 730,844.88 × 309,544.96
  4. Step 4: Simplify right side
    487,084x = 226,229,349,145.81
  5. Step 5: Solve for x
    x = 226,229,349,145.81/487,084
  6. Step 6: Final answer
    x = 464,456.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.