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Finding the Fourth Proportional to 666,186.22, 997,332.54 and 496,162

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Solution

The fourth proportional to 666,186.22, 997,332.54 and 496,162 is: 742,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,186.22 : 997,332.54 = 496,162 : x
  2. Step 2: Convert to fraction form
    666,186.22/997,332.54 = 496,162/x
  3. Step 3: Cross multiply
    666,186.22x = 997,332.54 × 496,162
  4. Step 4: Simplify right side
    666,186.22x = 494,838,507,711.48
  5. Step 5: Solve for x
    x = 494,838,507,711.48/666,186.22
  6. Step 6: Final answer
    x = 742,793.07

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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.