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Finding the Fourth Proportional to 256,353.71, 384,277.84 and 90,025.07

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Solution

The fourth proportional to 256,353.71, 384,277.84 and 90,025.07 is: 134,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,353.71 : 384,277.84 = 90,025.07 : x
  2. Step 2: Convert to fraction form
    256,353.71/384,277.84 = 90,025.07/x
  3. Step 3: Cross multiply
    256,353.71x = 384,277.84 × 90,025.07
  4. Step 4: Simplify right side
    256,353.71x = 34,594,637,299.00
  5. Step 5: Solve for x
    x = 34,594,637,299.00/256,353.71
  6. Step 6: Final answer
    x = 134,948.85

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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.