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Finding the Fourth Proportional to 390,052.80, 585,273.60 and 221,702.40

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Solution

The fourth proportional to 390,052.80, 585,273.60 and 221,702.40 is: 332,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,052.80 : 585,273.60 = 221,702.40 : x
  2. Step 2: Convert to fraction form
    390,052.80/585,273.60 = 221,702.40/x
  3. Step 3: Cross multiply
    390,052.80x = 585,273.60 × 221,702.40
  4. Step 4: Simplify right side
    390,052.80x = 129,756,561,776.64
  5. Step 5: Solve for x
    x = 129,756,561,776.64/390,052.80
  6. Step 6: Final answer
    x = 332,664.10

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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.