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Finding the Fourth Proportional to 382,106.63, 572,616.81 and 281,475.47

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Solution

The fourth proportional to 382,106.63, 572,616.81 and 281,475.47 is: 421,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,106.63 : 572,616.81 = 281,475.47 : x
  2. Step 2: Convert to fraction form
    382,106.63/572,616.81 = 281,475.47/x
  3. Step 3: Cross multiply
    382,106.63x = 572,616.81 × 281,475.47
  4. Step 4: Simplify right side
    382,106.63x = 161,177,587,156.19
  5. Step 5: Solve for x
    x = 161,177,587,156.19/382,106.63
  6. Step 6: Final answer
    x = 421,813.11

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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.