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Finding the Fourth Proportional to 312,925.54, 469,200.84 and 99,601.30

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Solution

The fourth proportional to 312,925.54, 469,200.84 and 99,601.30 is: 149,342.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,925.54 : 469,200.84 = 99,601.30 : x
  2. Step 2: Convert to fraction form
    312,925.54/469,200.84 = 99,601.30/x
  3. Step 3: Cross multiply
    312,925.54x = 469,200.84 × 99,601.30
  4. Step 4: Simplify right side
    312,925.54x = 46,733,013,625.09
  5. Step 5: Solve for x
    x = 46,733,013,625.09/312,925.54
  6. Step 6: Final answer
    x = 149,342.28

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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.