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Finding the Fourth Proportional to 312,655.68, 431,523 and 178,519.68

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Solution

The fourth proportional to 312,655.68, 431,523 and 178,519.68 is: 246,390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,655.68 : 431,523 = 178,519.68 : x
  2. Step 2: Convert to fraction form
    312,655.68/431,523 = 178,519.68/x
  3. Step 3: Cross multiply
    312,655.68x = 431,523 × 178,519.68
  4. Step 4: Simplify right side
    312,655.68x = 77,035,347,872.64
  5. Step 5: Solve for x
    x = 77,035,347,872.64/312,655.68
  6. Step 6: Final answer
    x = 246,390.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.