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Finding the Fourth Proportional to 284,404.11, 392,444.10 and 157,072.11

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Solution

The fourth proportional to 284,404.11, 392,444.10 and 157,072.11 is: 216,740.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,404.11 : 392,444.10 = 157,072.11 : x
  2. Step 2: Convert to fraction form
    284,404.11/392,444.10 = 157,072.11/x
  3. Step 3: Cross multiply
    284,404.11x = 392,444.10 × 157,072.11
  4. Step 4: Simplify right side
    284,404.11x = 61,642,022,844.05
  5. Step 5: Solve for x
    x = 61,642,022,844.05/284,404.11
  6. Step 6: Final answer
    x = 216,740.97

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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.