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Finding the Fourth Proportional to 280,885.44, 387,623.24 and 153,561

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Solution

The fourth proportional to 280,885.44, 387,623.24 and 153,561 is: 211,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,885.44 : 387,623.24 = 153,561 : x
  2. Step 2: Convert to fraction form
    280,885.44/387,623.24 = 153,561/x
  3. Step 3: Cross multiply
    280,885.44x = 387,623.24 × 153,561
  4. Step 4: Simplify right side
    280,885.44x = 59,523,812,357.64
  5. Step 5: Solve for x
    x = 59,523,812,357.64/280,885.44
  6. Step 6: Final answer
    x = 211,914.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.