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Finding the Fourth Proportional to 342,320.05, 513,491.78 and 117,678.56

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Solution

The fourth proportional to 342,320.05, 513,491.78 and 117,678.56 is: 176,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,320.05 : 513,491.78 = 117,678.56 : x
  2. Step 2: Convert to fraction form
    342,320.05/513,491.78 = 117,678.56/x
  3. Step 3: Cross multiply
    342,320.05x = 513,491.78 × 117,678.56
  4. Step 4: Simplify right side
    342,320.05x = 60,426,974,820.16
  5. Step 5: Solve for x
    x = 60,426,974,820.16/342,320.05
  6. Step 6: Final answer
    x = 176,521.87

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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.