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Finding the Fourth Proportional to 312,307.96, 430,825.92 and 189,767.32

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Solution

The fourth proportional to 312,307.96, 430,825.92 and 189,767.32 is: 261,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307.96 : 430,825.92 = 189,767.32 : x
  2. Step 2: Convert to fraction form
    312,307.96/430,825.92 = 189,767.32/x
  3. Step 3: Cross multiply
    312,307.96x = 430,825.92 × 189,767.32
  4. Step 4: Simplify right side
    312,307.96x = 81,756,680,224.93
  5. Step 5: Solve for x
    x = 81,756,680,224.93/312,307.96
  6. Step 6: Final answer
    x = 261,782.25

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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.