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Finding the Fourth Proportional to 357,492.72, 493,345.89 and 196,362.66

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Solution

The fourth proportional to 357,492.72, 493,345.89 and 196,362.66 is: 270,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,492.72 : 493,345.89 = 196,362.66 : x
  2. Step 2: Convert to fraction form
    357,492.72/493,345.89 = 196,362.66/x
  3. Step 3: Cross multiply
    357,492.72x = 493,345.89 × 196,362.66
  4. Step 4: Simplify right side
    357,492.72x = 96,874,711,260.47
  5. Step 5: Solve for x
    x = 96,874,711,260.47/357,492.72
  6. Step 6: Final answer
    x = 270,983.73

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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.