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Finding the Fourth Proportional to 342,128, 513,064.34 and 117,424.66

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Solution

The fourth proportional to 342,128, 513,064.34 and 117,424.66 is: 176,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,128 : 513,064.34 = 117,424.66 : x
  2. Step 2: Convert to fraction form
    342,128/513,064.34 = 117,424.66/x
  3. Step 3: Cross multiply
    342,128x = 513,064.34 × 117,424.66
  4. Step 4: Simplify right side
    342,128x = 60,246,405,682.62
  5. Step 5: Solve for x
    x = 60,246,405,682.62/342,128
  6. Step 6: Final answer
    x = 176,093.17

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1.5x scale

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.