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Finding the Fourth Proportional to 284,137.98, 392,107.92 and 155,079.06

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Solution

The fourth proportional to 284,137.98, 392,107.92 and 155,079.06 is: 214,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,137.98 : 392,107.92 = 155,079.06 : x
  2. Step 2: Convert to fraction form
    284,137.98/392,107.92 = 155,079.06/x
  3. Step 3: Cross multiply
    284,137.98x = 392,107.92 × 155,079.06
  4. Step 4: Simplify right side
    284,137.98x = 60,807,727,652.16
  5. Step 5: Solve for x
    x = 60,807,727,652.16/284,137.98
  6. Step 6: Final answer
    x = 214,007.74

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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.