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Finding the Fourth Proportional to 493,306, 680,762.28 and 266,951.50

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Solution

The fourth proportional to 493,306, 680,762.28 and 266,951.50 is: 368,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,306 : 680,762.28 = 266,951.50 : x
  2. Step 2: Convert to fraction form
    493,306/680,762.28 = 266,951.50/x
  3. Step 3: Cross multiply
    493,306x = 680,762.28 × 266,951.50
  4. Step 4: Simplify right side
    493,306x = 181,730,511,789.42
  5. Step 5: Solve for x
    x = 181,730,511,789.42/493,306
  6. Step 6: Final answer
    x = 368,393.07

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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.