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Finding the Fourth Proportional to 342,811.47, 473,081.16 and 189,846.32

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Solution

The fourth proportional to 342,811.47, 473,081.16 and 189,846.32 is: 261,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,811.47 : 473,081.16 = 189,846.32 : x
  2. Step 2: Convert to fraction form
    342,811.47/473,081.16 = 189,846.32/x
  3. Step 3: Cross multiply
    342,811.47x = 473,081.16 × 189,846.32
  4. Step 4: Simplify right side
    342,811.47x = 89,812,714,921.93
  5. Step 5: Solve for x
    x = 89,812,714,921.93/342,811.47
  6. Step 6: Final answer
    x = 261,988.65

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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.