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Finding the Fourth Proportional to 402,497.06, 603,766.24 and 102,980.22

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Solution

The fourth proportional to 402,497.06, 603,766.24 and 102,980.22 is: 154,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,497.06 : 603,766.24 = 102,980.22 : x
  2. Step 2: Convert to fraction form
    402,497.06/603,766.24 = 102,980.22/x
  3. Step 3: Cross multiply
    402,497.06x = 603,766.24 × 102,980.22
  4. Step 4: Simplify right side
    402,497.06x = 62,175,980,223.77
  5. Step 5: Solve for x
    x = 62,175,980,223.77/402,497.06
  6. Step 6: Final answer
    x = 154,475.61

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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.