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Finding the Fourth Proportional to 817,185.76, 1,225,778.64 and 256,264

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Solution

The fourth proportional to 817,185.76, 1,225,778.64 and 256,264 is: 384,396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,185.76 : 1,225,778.64 = 256,264 : x
  2. Step 2: Convert to fraction form
    817,185.76/1,225,778.64 = 256,264/x
  3. Step 3: Cross multiply
    817,185.76x = 1,225,778.64 × 256,264
  4. Step 4: Simplify right side
    817,185.76x = 314,122,937,400.96
  5. Step 5: Solve for x
    x = 314,122,937,400.96/817,185.76
  6. Step 6: Final answer
    x = 384,396.00

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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.