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Finding the Fourth Proportional to 284,199.21, 392,194.94 and 156,874.82

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Solution

The fourth proportional to 284,199.21, 392,194.94 and 156,874.82 is: 216,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,199.21 : 392,194.94 = 156,874.82 : x
  2. Step 2: Convert to fraction form
    284,199.21/392,194.94 = 156,874.82/x
  3. Step 3: Cross multiply
    284,199.21x = 392,194.94 × 156,874.82
  4. Step 4: Simplify right side
    284,199.21x = 61,525,507,872.06
  5. Step 5: Solve for x
    x = 61,525,507,872.06/284,199.21
  6. Step 6: Final answer
    x = 216,487.26

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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.