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Finding the Fourth Proportional to 342,114.90, 513,281.70 and 117,619.35

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Solution

The fourth proportional to 342,114.90, 513,281.70 and 117,619.35 is: 176,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,114.90 : 513,281.70 = 117,619.35 : x
  2. Step 2: Convert to fraction form
    342,114.90/513,281.70 = 117,619.35/x
  3. Step 3: Cross multiply
    342,114.90x = 513,281.70 × 117,619.35
  4. Step 4: Simplify right side
    342,114.90x = 60,371,859,920.90
  5. Step 5: Solve for x
    x = 60,371,859,920.90/342,114.90
  6. Step 6: Final answer
    x = 176,466.62

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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.