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Finding the Fourth Proportional to 390,456.55, 585,016.42 and 213,088.11

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Solution

The fourth proportional to 390,456.55, 585,016.42 and 213,088.11 is: 319,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,456.55 : 585,016.42 = 213,088.11 : x
  2. Step 2: Convert to fraction form
    390,456.55/585,016.42 = 213,088.11/x
  3. Step 3: Cross multiply
    390,456.55x = 585,016.42 × 213,088.11
  4. Step 4: Simplify right side
    390,456.55x = 124,660,042,191.33
  5. Step 5: Solve for x
    x = 124,660,042,191.33/390,456.55
  6. Step 6: Final answer
    x = 319,267.39

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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.