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Finding the Fourth Proportional to 402,709.60, 604,064.40 and 165,930.40

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Solution

The fourth proportional to 402,709.60, 604,064.40 and 165,930.40 is: 248,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,709.60 : 604,064.40 = 165,930.40 : x
  2. Step 2: Convert to fraction form
    402,709.60/604,064.40 = 165,930.40/x
  3. Step 3: Cross multiply
    402,709.60x = 604,064.40 × 165,930.40
  4. Step 4: Simplify right side
    402,709.60x = 100,232,647,517.76
  5. Step 5: Solve for x
    x = 100,232,647,517.76/402,709.60
  6. Step 6: Final answer
    x = 248,895.60

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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.