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Finding the Fourth Proportional to 657,305.40, 986,388.89 and 230,830.07

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Solution

The fourth proportional to 657,305.40, 986,388.89 and 230,830.07 is: 346,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,305.40 : 986,388.89 = 230,830.07 : x
  2. Step 2: Convert to fraction form
    657,305.40/986,388.89 = 230,830.07/x
  3. Step 3: Cross multiply
    657,305.40x = 986,388.89 × 230,830.07
  4. Step 4: Simplify right side
    657,305.40x = 227,688,217,286.68
  5. Step 5: Solve for x
    x = 227,688,217,286.68/657,305.40
  6. Step 6: Final answer
    x = 346,396.39

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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.