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Finding the Fourth Proportional to 509,896.59, 703,712.40 and 318,971.49

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Solution

The fourth proportional to 509,896.59, 703,712.40 and 318,971.49 is: 440,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,896.59 : 703,712.40 = 318,971.49 : x
  2. Step 2: Convert to fraction form
    509,896.59/703,712.40 = 318,971.49/x
  3. Step 3: Cross multiply
    509,896.59x = 703,712.40 × 318,971.49
  4. Step 4: Simplify right side
    509,896.59x = 224,464,192,759.48
  5. Step 5: Solve for x
    x = 224,464,192,759.48/509,896.59
  6. Step 6: Final answer
    x = 440,215.13

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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.