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Finding the Fourth Proportional to 256,210.40, 384,373.20 and 150,975.20

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Solution

The fourth proportional to 256,210.40, 384,373.20 and 150,975.20 is: 226,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,210.40 : 384,373.20 = 150,975.20 : x
  2. Step 2: Convert to fraction form
    256,210.40/384,373.20 = 150,975.20/x
  3. Step 3: Cross multiply
    256,210.40x = 384,373.20 × 150,975.20
  4. Step 4: Simplify right side
    256,210.40x = 58,030,820,744.64
  5. Step 5: Solve for x
    x = 58,030,820,744.64/256,210.40
  6. Step 6: Final answer
    x = 226,496.74

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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.