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Finding the Fourth Proportional to 402,395.60, 603,374.70 and 165,762.20

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Solution

The fourth proportional to 402,395.60, 603,374.70 and 165,762.20 is: 248,553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,395.60 : 603,374.70 = 165,762.20 : x
  2. Step 2: Convert to fraction form
    402,395.60/603,374.70 = 165,762.20/x
  3. Step 3: Cross multiply
    402,395.60x = 603,374.70 × 165,762.20
  4. Step 4: Simplify right side
    402,395.60x = 100,016,717,696.34
  5. Step 5: Solve for x
    x = 100,016,717,696.34/402,395.60
  6. Step 6: Final answer
    x = 248,553.21

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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.