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Finding the Fourth Proportional to 305,689.20, 458,533.80 and 165,721.20

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Solution

The fourth proportional to 305,689.20, 458,533.80 and 165,721.20 is: 248,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,689.20 : 458,533.80 = 165,721.20 : x
  2. Step 2: Convert to fraction form
    305,689.20/458,533.80 = 165,721.20/x
  3. Step 3: Cross multiply
    305,689.20x = 458,533.80 × 165,721.20
  4. Step 4: Simplify right side
    305,689.20x = 75,988,771,576.56
  5. Step 5: Solve for x
    x = 75,988,771,576.56/305,689.20
  6. Step 6: Final answer
    x = 248,581.80

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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.