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Finding the Fourth Proportional to 284,308.61, 392,204.30 and 169,506.43

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Solution

The fourth proportional to 284,308.61, 392,204.30 and 169,506.43 is: 233,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,308.61 : 392,204.30 = 169,506.43 : x
  2. Step 2: Convert to fraction form
    284,308.61/392,204.30 = 169,506.43/x
  3. Step 3: Cross multiply
    284,308.61x = 392,204.30 × 169,506.43
  4. Step 4: Simplify right side
    284,308.61x = 66,481,148,895.61
  5. Step 5: Solve for x
    x = 66,481,148,895.61/284,308.61
  6. Step 6: Final answer
    x = 233,834.46

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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.