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Finding the Fourth Proportional to 256,111.30, 384,166.95 and 225,007.30

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Solution

The fourth proportional to 256,111.30, 384,166.95 and 225,007.30 is: 337,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,111.30 : 384,166.95 = 225,007.30 : x
  2. Step 2: Convert to fraction form
    256,111.30/384,166.95 = 225,007.30/x
  3. Step 3: Cross multiply
    256,111.30x = 384,166.95 × 225,007.30
  4. Step 4: Simplify right side
    256,111.30x = 86,440,368,168.74
  5. Step 5: Solve for x
    x = 86,440,368,168.74/256,111.30
  6. Step 6: Final answer
    x = 337,510.95

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1.5x scale

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.