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Finding the Fourth Proportional to 399,648.87, 599,709.60 and 147,106.62

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Solution

The fourth proportional to 399,648.87, 599,709.60 and 147,106.62 is: 220,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,648.87 : 599,709.60 = 147,106.62 : x
  2. Step 2: Convert to fraction form
    399,648.87/599,709.60 = 147,106.62/x
  3. Step 3: Cross multiply
    399,648.87x = 599,709.60 × 147,106.62
  4. Step 4: Simplify right side
    399,648.87x = 88,221,252,237.55
  5. Step 5: Solve for x
    x = 88,221,252,237.55/399,648.87
  6. Step 6: Final answer
    x = 220,746.91

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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.