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Finding the Fourth Proportional to 256,893.84, 384,987.96 and 144,627.12

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Solution

The fourth proportional to 256,893.84, 384,987.96 and 144,627.12 is: 216,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,893.84 : 384,987.96 = 144,627.12 : x
  2. Step 2: Convert to fraction form
    256,893.84/384,987.96 = 144,627.12/x
  3. Step 3: Cross multiply
    256,893.84x = 384,987.96 × 144,627.12
  4. Step 4: Simplify right side
    256,893.84x = 55,679,699,889.48
  5. Step 5: Solve for x
    x = 55,679,699,889.48/256,893.84
  6. Step 6: Final answer
    x = 216,742.06

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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.