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Finding the Fourth Proportional to 342,685.76, 513,809.28 and 164,838.56

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Solution

The fourth proportional to 342,685.76, 513,809.28 and 164,838.56 is: 247,152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,685.76 : 513,809.28 = 164,838.56 : x
  2. Step 2: Convert to fraction form
    342,685.76/513,809.28 = 164,838.56/x
  3. Step 3: Cross multiply
    342,685.76x = 513,809.28 × 164,838.56
  4. Step 4: Simplify right side
    342,685.76x = 84,695,581,829.84
  5. Step 5: Solve for x
    x = 84,695,581,829.84/342,685.76
  6. Step 6: Final answer
    x = 247,152.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.