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Finding the Fourth Proportional to 408,042.70, 612,064.05 and 186,858.70

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Solution

The fourth proportional to 408,042.70, 612,064.05 and 186,858.70 is: 280,288.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,042.70 : 612,064.05 = 186,858.70 : x
  2. Step 2: Convert to fraction form
    408,042.70/612,064.05 = 186,858.70/x
  3. Step 3: Cross multiply
    408,042.70x = 612,064.05 × 186,858.70
  4. Step 4: Simplify right side
    408,042.70x = 114,369,492,699.74
  5. Step 5: Solve for x
    x = 114,369,492,699.74/408,042.70
  6. Step 6: Final answer
    x = 280,288.05

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1.5x scale

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.