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Finding the Fourth Proportional to 342,783.62, 473,035.47 and 189,818.78

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Solution

The fourth proportional to 342,783.62, 473,035.47 and 189,818.78 is: 261,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,783.62 : 473,035.47 = 189,818.78 : x
  2. Step 2: Convert to fraction form
    342,783.62/473,035.47 = 189,818.78/x
  3. Step 3: Cross multiply
    342,783.62x = 473,035.47 × 189,818.78
  4. Step 4: Simplify right side
    342,783.62x = 89,791,015,812.13
  5. Step 5: Solve for x
    x = 89,791,015,812.13/342,783.62
  6. Step 6: Final answer
    x = 261,946.64

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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.