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Finding the Fourth Proportional to 817,187.76, 1,225,781.64 and 256,266

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Solution

The fourth proportional to 817,187.76, 1,225,781.64 and 256,266 is: 384,399

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,187.76 : 1,225,781.64 = 256,266 : x
  2. Step 2: Convert to fraction form
    817,187.76/1,225,781.64 = 256,266/x
  3. Step 3: Cross multiply
    817,187.76x = 1,225,781.64 × 256,266
  4. Step 4: Simplify right side
    817,187.76x = 314,126,157,756.24
  5. Step 5: Solve for x
    x = 314,126,157,756.24/817,187.76
  6. Step 6: Final answer
    x = 384,399

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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.