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Finding the Fourth Proportional to 402,496.85, 603,740.97 and 102,975.05

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Solution

The fourth proportional to 402,496.85, 603,740.97 and 102,975.05 is: 154,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,496.85 : 603,740.97 = 102,975.05 : x
  2. Step 2: Convert to fraction form
    402,496.85/603,740.97 = 102,975.05/x
  3. Step 3: Cross multiply
    402,496.85x = 603,740.97 × 102,975.05
  4. Step 4: Simplify right side
    402,496.85x = 62,170,256,572.80
  5. Step 5: Solve for x
    x = 62,170,256,572.80/402,496.85
  6. Step 6: Final answer
    x = 154,461.47

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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.