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Finding the Fourth Proportional to 493,320, 680,786.52 and 266,970.36

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Solution

The fourth proportional to 493,320, 680,786.52 and 266,970.36 is: 368,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,320 : 680,786.52 = 266,970.36 : x
  2. Step 2: Convert to fraction form
    493,320/680,786.52 = 266,970.36/x
  3. Step 3: Cross multiply
    493,320x = 680,786.52 × 266,970.36
  4. Step 4: Simplify right side
    493,320x = 181,749,822,327.55
  5. Step 5: Solve for x
    x = 181,749,822,327.55/493,320
  6. Step 6: Final answer
    x = 368,421.76

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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.