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Finding the Fourth Proportional to 416,095.40, 624,143.10 and 399,765.80

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Solution

The fourth proportional to 416,095.40, 624,143.10 and 399,765.80 is: 599,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,095.40 : 624,143.10 = 399,765.80 : x
  2. Step 2: Convert to fraction form
    416,095.40/624,143.10 = 399,765.80/x
  3. Step 3: Cross multiply
    416,095.40x = 624,143.10 × 399,765.80
  4. Step 4: Simplify right side
    416,095.40x = 249,511,065,685.98
  5. Step 5: Solve for x
    x = 249,511,065,685.98/416,095.40
  6. Step 6: Final answer
    x = 599,648.70

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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.