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Finding the Fourth Proportional to 270,928.40, 405,701.40 and 215,632.40

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Solution

The fourth proportional to 270,928.40, 405,701.40 and 215,632.40 is: 322,898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,928.40 : 405,701.40 = 215,632.40 : x
  2. Step 2: Convert to fraction form
    270,928.40/405,701.40 = 215,632.40/x
  3. Step 3: Cross multiply
    270,928.40x = 405,701.40 × 215,632.40
  4. Step 4: Simplify right side
    270,928.40x = 87,482,366,565.36
  5. Step 5: Solve for x
    x = 87,482,366,565.36/270,928.40
  6. Step 6: Final answer
    x = 322,898.47

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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.