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Finding the Fourth Proportional to 256,666.27, 384,678.63 and 123,510.79

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Solution

The fourth proportional to 256,666.27, 384,678.63 and 123,510.79 is: 185,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,666.27 : 384,678.63 = 123,510.79 : x
  2. Step 2: Convert to fraction form
    256,666.27/384,678.63 = 123,510.79/x
  3. Step 3: Cross multiply
    256,666.27x = 384,678.63 × 123,510.79
  4. Step 4: Simplify right side
    256,666.27x = 47,511,961,487.42
  5. Step 5: Solve for x
    x = 47,511,961,487.42/256,666.27
  6. Step 6: Final answer
    x = 185,111.82

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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.