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Finding the Fourth Proportional to 340,426, 510,872.28 and 118,810

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Solution

The fourth proportional to 340,426, 510,872.28 and 118,810 is: 178,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,426 : 510,872.28 = 118,810 : x
  2. Step 2: Convert to fraction form
    340,426/510,872.28 = 118,810/x
  3. Step 3: Cross multiply
    340,426x = 510,872.28 × 118,810
  4. Step 4: Simplify right side
    340,426x = 60,696,735,586.80
  5. Step 5: Solve for x
    x = 60,696,735,586.80/340,426
  6. Step 6: Final answer
    x = 178,296.42

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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.