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Finding the Fourth Proportional to 390,145.80, 585,413.10 and 221,795.40

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Solution

The fourth proportional to 390,145.80, 585,413.10 and 221,795.40 is: 332,803.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,145.80 : 585,413.10 = 221,795.40 : x
  2. Step 2: Convert to fraction form
    390,145.80/585,413.10 = 221,795.40/x
  3. Step 3: Cross multiply
    390,145.80x = 585,413.10 × 221,795.40
  4. Step 4: Simplify right side
    390,145.80x = 129,841,932,679.74
  5. Step 5: Solve for x
    x = 129,841,932,679.74/390,145.80
  6. Step 6: Final answer
    x = 332,803.62

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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.