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Finding the Fourth Proportional to 312,097.86, 430,302.93 and 254,678.86

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Solution

The fourth proportional to 312,097.86, 430,302.93 and 254,678.86 is: 351,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,097.86 : 430,302.93 = 254,678.86 : x
  2. Step 2: Convert to fraction form
    312,097.86/430,302.93 = 254,678.86/x
  3. Step 3: Cross multiply
    312,097.86x = 430,302.93 × 254,678.86
  4. Step 4: Simplify right side
    312,097.86x = 109,589,059,472.23
  5. Step 5: Solve for x
    x = 109,589,059,472.23/312,097.86
  6. Step 6: Final answer
    x = 351,136.85

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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.