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Finding the Fourth Proportional to 300,006.90, 414,007.65 and 165,870.90

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Solution

The fourth proportional to 300,006.90, 414,007.65 and 165,870.90 is: 228,900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,006.90 : 414,007.65 = 165,870.90 : x
  2. Step 2: Convert to fraction form
    300,006.90/414,007.65 = 165,870.90/x
  3. Step 3: Cross multiply
    300,006.90x = 414,007.65 × 165,870.90
  4. Step 4: Simplify right side
    300,006.90x = 68,671,821,512.39
  5. Step 5: Solve for x
    x = 68,671,821,512.39/300,006.90
  6. Step 6: Final answer
    x = 228,900.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.