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Finding the Fourth Proportional to 402,116.40, 603,514.80 and 165,628.80

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Solution

The fourth proportional to 402,116.40, 603,514.80 and 165,628.80 is: 248,583.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,116.40 : 603,514.80 = 165,628.80 : x
  2. Step 2: Convert to fraction form
    402,116.40/603,514.80 = 165,628.80/x
  3. Step 3: Cross multiply
    402,116.40x = 603,514.80 × 165,628.80
  4. Step 4: Simplify right side
    402,116.40x = 99,959,432,106.24
  5. Step 5: Solve for x
    x = 99,959,432,106.24/402,116.40
  6. Step 6: Final answer
    x = 248,583.33

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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.