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Finding the Fourth Proportional to 256,438.40, 384,139.20 and 172,457.60

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Solution

The fourth proportional to 256,438.40, 384,139.20 and 172,457.60 is: 258,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,438.40 : 384,139.20 = 172,457.60 : x
  2. Step 2: Convert to fraction form
    256,438.40/384,139.20 = 172,457.60/x
  3. Step 3: Cross multiply
    256,438.40x = 384,139.20 × 172,457.60
  4. Step 4: Simplify right side
    256,438.40x = 66,247,724,497.92
  5. Step 5: Solve for x
    x = 66,247,724,497.92/256,438.40
  6. Step 6: Final answer
    x = 258,337.77

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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.