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Finding the Fourth Proportional to 356,500, 491,970 and 213,266.08

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Solution

The fourth proportional to 356,500, 491,970 and 213,266.08 is: 294,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,500 : 491,970 = 213,266.08 : x
  2. Step 2: Convert to fraction form
    356,500/491,970 = 213,266.08/x
  3. Step 3: Cross multiply
    356,500x = 491,970 × 213,266.08
  4. Step 4: Simplify right side
    356,500x = 104,920,513,377.60
  5. Step 5: Solve for x
    x = 104,920,513,377.60/356,500
  6. Step 6: Final answer
    x = 294,307.19

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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.