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Finding the Fourth Proportional to 256,714.14, 384,695.28 and 144,612.84

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Solution

The fourth proportional to 256,714.14, 384,695.28 and 144,612.84 is: 216,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,714.14 : 384,695.28 = 144,612.84 : x
  2. Step 2: Convert to fraction form
    256,714.14/384,695.28 = 144,612.84/x
  3. Step 3: Cross multiply
    256,714.14x = 384,695.28 × 144,612.84
  4. Step 4: Simplify right side
    256,714.14x = 55,631,876,975.40
  5. Step 5: Solve for x
    x = 55,631,876,975.40/256,714.14
  6. Step 6: Final answer
    x = 216,707.49

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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.