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Finding the Fourth Proportional to 312,031.32, 430,605.32 and 191,172.84

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Solution

The fourth proportional to 312,031.32, 430,605.32 and 191,172.84 is: 263,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,031.32 : 430,605.32 = 191,172.84 : x
  2. Step 2: Convert to fraction form
    312,031.32/430,605.32 = 191,172.84/x
  3. Step 3: Cross multiply
    312,031.32x = 430,605.32 × 191,172.84
  4. Step 4: Simplify right side
    312,031.32x = 82,320,041,943.51
  5. Step 5: Solve for x
    x = 82,320,041,943.51/312,031.32
  6. Step 6: Final answer
    x = 263,819.80

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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.