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Finding the Fourth Proportional to 312,570.43, 431,063.73 and 205,099.63

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Solution

The fourth proportional to 312,570.43, 431,063.73 and 205,099.63 is: 282,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,570.43 : 431,063.73 = 205,099.63 : x
  2. Step 2: Convert to fraction form
    312,570.43/431,063.73 = 205,099.63/x
  3. Step 3: Cross multiply
    312,570.43x = 431,063.73 × 205,099.63
  4. Step 4: Simplify right side
    312,570.43x = 88,411,011,529.42
  5. Step 5: Solve for x
    x = 88,411,011,529.42/312,570.43
  6. Step 6: Final answer
    x = 282,851.49

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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.