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Finding the Fourth Proportional to 342,320.33, 513,492.21 and 117,678.85

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Solution

The fourth proportional to 342,320.33, 513,492.21 and 117,678.85 is: 176,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,320.33 : 513,492.21 = 117,678.85 : x
  2. Step 2: Convert to fraction form
    342,320.33/513,492.21 = 117,678.85/x
  3. Step 3: Cross multiply
    342,320.33x = 513,492.21 × 117,678.85
  4. Step 4: Simplify right side
    342,320.33x = 60,427,169,600.90
  5. Step 5: Solve for x
    x = 60,427,169,600.90/342,320.33
  6. Step 6: Final answer
    x = 176,522.29

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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.