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Finding the Fourth Proportional to 402,405.75, 603,701.91 and 118,084.68

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Solution

The fourth proportional to 402,405.75, 603,701.91 and 118,084.68 is: 177,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,405.75 : 603,701.91 = 118,084.68 : x
  2. Step 2: Convert to fraction form
    402,405.75/603,701.91 = 118,084.68/x
  3. Step 3: Cross multiply
    402,405.75x = 603,701.91 × 118,084.68
  4. Step 4: Simplify right side
    402,405.75x = 71,287,946,857.74
  5. Step 5: Solve for x
    x = 71,287,946,857.74/402,405.75
  6. Step 6: Final answer
    x = 177,154.39

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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.