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Finding the Fourth Proportional to 416,712.09, 624,639.07 and 163,890.07

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Solution

The fourth proportional to 416,712.09, 624,639.07 and 163,890.07 is: 245,666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,712.09 : 624,639.07 = 163,890.07 : x
  2. Step 2: Convert to fraction form
    416,712.09/624,639.07 = 163,890.07/x
  3. Step 3: Cross multiply
    416,712.09x = 624,639.07 × 163,890.07
  4. Step 4: Simplify right side
    416,712.09x = 102,372,140,907.04
  5. Step 5: Solve for x
    x = 102,372,140,907.04/416,712.09
  6. Step 6: Final answer
    x = 245,666.36

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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.