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Finding the Fourth Proportional to 256,808.16, 384,663.60 and 208,559.31

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Solution

The fourth proportional to 256,808.16, 384,663.60 and 208,559.31 is: 312,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,808.16 : 384,663.60 = 208,559.31 : x
  2. Step 2: Convert to fraction form
    256,808.16/384,663.60 = 208,559.31/x
  3. Step 3: Cross multiply
    256,808.16x = 384,663.60 × 208,559.31
  4. Step 4: Simplify right side
    256,808.16x = 80,225,174,998.12
  5. Step 5: Solve for x
    x = 80,225,174,998.12/256,808.16
  6. Step 6: Final answer
    x = 312,393.40

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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.