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Finding the Fourth Proportional to 284,984, 393,434.88 and 213,338.24

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Solution

The fourth proportional to 284,984, 393,434.88 and 213,338.24 is: 294,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,984 : 393,434.88 = 213,338.24 : x
  2. Step 2: Convert to fraction form
    284,984/393,434.88 = 213,338.24/x
  3. Step 3: Cross multiply
    284,984x = 393,434.88 × 213,338.24
  4. Step 4: Simplify right side
    284,984x = 83,934,704,853.81
  5. Step 5: Solve for x
    x = 83,934,704,853.81/284,984
  6. Step 6: Final answer
    x = 294,524.27

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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.