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Finding the Fourth Proportional to 256,817.61, 384,973.70 and 150,066.09

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Solution

The fourth proportional to 256,817.61, 384,973.70 and 150,066.09 is: 224,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,817.61 : 384,973.70 = 150,066.09 : x
  2. Step 2: Convert to fraction form
    256,817.61/384,973.70 = 150,066.09/x
  3. Step 3: Cross multiply
    256,817.61x = 384,973.70 × 150,066.09
  4. Step 4: Simplify right side
    256,817.61x = 57,771,497,161.50
  5. Step 5: Solve for x
    x = 57,771,497,161.50/256,817.61
  6. Step 6: Final answer
    x = 224,951.46

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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.