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Finding the Fourth Proportional to 256,803.16, 384,656.10 and 208,554.31

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Solution

The fourth proportional to 256,803.16, 384,656.10 and 208,554.31 is: 312,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,803.16 : 384,656.10 = 208,554.31 : x
  2. Step 2: Convert to fraction form
    256,803.16/384,656.10 = 208,554.31/x
  3. Step 3: Cross multiply
    256,803.16x = 384,656.10 × 208,554.31
  4. Step 4: Simplify right side
    256,803.16x = 80,221,687,522.79
  5. Step 5: Solve for x
    x = 80,221,687,522.79/256,803.16
  6. Step 6: Final answer
    x = 312,385.90

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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.