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Finding the Fourth Proportional to 268,214.64, 402,391.93 and 155,786.77

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Solution

The fourth proportional to 268,214.64, 402,391.93 and 155,786.77 is: 233,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,214.64 : 402,391.93 = 155,786.77 : x
  2. Step 2: Convert to fraction form
    268,214.64/402,391.93 = 155,786.77/x
  3. Step 3: Cross multiply
    268,214.64x = 402,391.93 × 155,786.77
  4. Step 4: Simplify right side
    268,214.64x = 62,687,339,048.77
  5. Step 5: Solve for x
    x = 62,687,339,048.77/268,214.64
  6. Step 6: Final answer
    x = 233,720.80

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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.