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Finding the Fourth Proportional to 381,698.40, 572,547.60 and 275,944.80

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Solution

The fourth proportional to 381,698.40, 572,547.60 and 275,944.80 is: 413,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,698.40 : 572,547.60 = 275,944.80 : x
  2. Step 2: Convert to fraction form
    381,698.40/572,547.60 = 275,944.80/x
  3. Step 3: Cross multiply
    381,698.40x = 572,547.60 × 275,944.80
  4. Step 4: Simplify right side
    381,698.40x = 157,991,532,972.48
  5. Step 5: Solve for x
    x = 157,991,532,972.48/381,698.40
  6. Step 6: Final answer
    x = 413,917.20

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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.