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Finding the Fourth Proportional to 210,578, 315,921.72 and 62,834

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Solution

The fourth proportional to 210,578, 315,921.72 and 62,834 is: 94,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,578 : 315,921.72 = 62,834 : x
  2. Step 2: Convert to fraction form
    210,578/315,921.72 = 62,834/x
  3. Step 3: Cross multiply
    210,578x = 315,921.72 × 62,834
  4. Step 4: Simplify right side
    210,578x = 19,850,625,354.48
  5. Step 5: Solve for x
    x = 19,850,625,354.48/210,578
  6. Step 6: Final answer
    x = 94,267.33

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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.