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Finding the Fourth Proportional to 390,452.49, 585,010.32 and 213,084.05

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Solution

The fourth proportional to 390,452.49, 585,010.32 and 213,084.05 is: 319,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,452.49 : 585,010.32 = 213,084.05 : x
  2. Step 2: Convert to fraction form
    390,452.49/585,010.32 = 213,084.05/x
  3. Step 3: Cross multiply
    390,452.49x = 585,010.32 × 213,084.05
  4. Step 4: Simplify right side
    390,452.49x = 124,656,365,352.34
  5. Step 5: Solve for x
    x = 124,656,365,352.34/390,452.49
  6. Step 6: Final answer
    x = 319,261.29

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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.