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Finding the Fourth Proportional to 210,400, 315,654.72 and 62,656

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Solution

The fourth proportional to 210,400, 315,654.72 and 62,656 is: 94,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,400 : 315,654.72 = 62,656 : x
  2. Step 2: Convert to fraction form
    210,400/315,654.72 = 62,656/x
  3. Step 3: Cross multiply
    210,400x = 315,654.72 × 62,656
  4. Step 4: Simplify right side
    210,400x = 19,777,662,136.32
  5. Step 5: Solve for x
    x = 19,777,662,136.32/210,400
  6. Step 6: Final answer
    x = 94,000.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.