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Finding the Fourth Proportional to 604,857.20, 907,247.40 and 205,497.20

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Solution

The fourth proportional to 604,857.20, 907,247.40 and 205,497.20 is: 308,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,857.20 : 907,247.40 = 205,497.20 : x
  2. Step 2: Convert to fraction form
    604,857.20/907,247.40 = 205,497.20/x
  3. Step 3: Cross multiply
    604,857.20x = 907,247.40 × 205,497.20
  4. Step 4: Simplify right side
    604,857.20x = 186,436,800,407.28
  5. Step 5: Solve for x
    x = 186,436,800,407.28/604,857.20
  6. Step 6: Final answer
    x = 308,232.75

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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.