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Finding the Fourth Proportional to 256,124.40, 384,532.20 and 162,812.40

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Solution

The fourth proportional to 256,124.40, 384,532.20 and 162,812.40 is: 244,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,124.40 : 384,532.20 = 162,812.40 : x
  2. Step 2: Convert to fraction form
    256,124.40/384,532.20 = 162,812.40/x
  3. Step 3: Cross multiply
    256,124.40x = 384,532.20 × 162,812.40
  4. Step 4: Simplify right side
    256,124.40x = 62,606,610,359.28
  5. Step 5: Solve for x
    x = 62,606,610,359.28/256,124.40
  6. Step 6: Final answer
    x = 244,438.29

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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.