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Finding the Fourth Proportional to 284,964, 393,238.44 and 157,631.52

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Solution

The fourth proportional to 284,964, 393,238.44 and 157,631.52 is: 217,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,964 : 393,238.44 = 157,631.52 : x
  2. Step 2: Convert to fraction form
    284,964/393,238.44 = 157,631.52/x
  3. Step 3: Cross multiply
    284,964x = 393,238.44 × 157,631.52
  4. Step 4: Simplify right side
    284,964x = 61,986,773,019.63
  5. Step 5: Solve for x
    x = 61,986,773,019.63/284,964
  6. Step 6: Final answer
    x = 217,524.93

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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.