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Finding the Fourth Proportional to 210,552.29, 315,992.21 and 146,959.29

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Solution

The fourth proportional to 210,552.29, 315,992.21 and 146,959.29 is: 220,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,552.29 : 315,992.21 = 146,959.29 : x
  2. Step 2: Convert to fraction form
    210,552.29/315,992.21 = 146,959.29/x
  3. Step 3: Cross multiply
    210,552.29x = 315,992.21 × 146,959.29
  4. Step 4: Simplify right side
    210,552.29x = 46,437,990,827.13
  5. Step 5: Solve for x
    x = 46,437,990,827.13/210,552.29
  6. Step 6: Final answer
    x = 220,553.25

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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.