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Finding the Fourth Proportional to 398,583.36, 596,569.31 and 218,394

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Solution

The fourth proportional to 398,583.36, 596,569.31 and 218,394 is: 326,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,583.36 : 596,569.31 = 218,394 : x
  2. Step 2: Convert to fraction form
    398,583.36/596,569.31 = 218,394/x
  3. Step 3: Cross multiply
    398,583.36x = 596,569.31 × 218,394
  4. Step 4: Simplify right side
    398,583.36x = 130,287,157,888.14
  5. Step 5: Solve for x
    x = 130,287,157,888.14/398,583.36
  6. Step 6: Final answer
    x = 326,875.56

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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.