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Finding the Fourth Proportional to 492,068.40, 738,102.60 and 137,137.20

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Solution

The fourth proportional to 492,068.40, 738,102.60 and 137,137.20 is: 205,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,068.40 : 738,102.60 = 137,137.20 : x
  2. Step 2: Convert to fraction form
    492,068.40/738,102.60 = 137,137.20/x
  3. Step 3: Cross multiply
    492,068.40x = 738,102.60 × 137,137.20
  4. Step 4: Simplify right side
    492,068.40x = 101,221,323,876.72
  5. Step 5: Solve for x
    x = 101,221,323,876.72/492,068.40
  6. Step 6: Final answer
    x = 205,705.80

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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.