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Finding the Fourth Proportional to 270,513.20, 405,769.80 and 186,532.40

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Solution

The fourth proportional to 270,513.20, 405,769.80 and 186,532.40 is: 279,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,513.20 : 405,769.80 = 186,532.40 : x
  2. Step 2: Convert to fraction form
    270,513.20/405,769.80 = 186,532.40/x
  3. Step 3: Cross multiply
    270,513.20x = 405,769.80 × 186,532.40
  4. Step 4: Simplify right side
    270,513.20x = 75,689,214,641.52
  5. Step 5: Solve for x
    x = 75,689,214,641.52/270,513.20
  6. Step 6: Final answer
    x = 279,798.60

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1.5x scale

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.