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Finding the Fourth Proportional to 421,705, 632,405.20 and 169,043.32

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Solution

The fourth proportional to 421,705, 632,405.20 and 169,043.32 is: 253,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,705 : 632,405.20 = 169,043.32 : x
  2. Step 2: Convert to fraction form
    421,705/632,405.20 = 169,043.32/x
  3. Step 3: Cross multiply
    421,705x = 632,405.20 × 169,043.32
  4. Step 4: Simplify right side
    421,705x = 106,903,874,593.26
  5. Step 5: Solve for x
    x = 106,903,874,593.26/421,705
  6. Step 6: Final answer
    x = 253,503.93

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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.