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Finding the Fourth Proportional to 284,599.11, 392,731.31 and 157,266.50

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Solution

The fourth proportional to 284,599.11, 392,731.31 and 157,266.50 is: 217,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,599.11 : 392,731.31 = 157,266.50 : x
  2. Step 2: Convert to fraction form
    284,599.11/392,731.31 = 157,266.50/x
  3. Step 3: Cross multiply
    284,599.11x = 392,731.31 × 157,266.50
  4. Step 4: Simplify right side
    284,599.11x = 61,763,477,777.78
  5. Step 5: Solve for x
    x = 61,763,477,777.78/284,599.11
  6. Step 6: Final answer
    x = 217,019.22

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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.