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Finding the Fourth Proportional to 421,803.25, 632,574.68 and 122,305.90

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Solution

The fourth proportional to 421,803.25, 632,574.68 and 122,305.90 is: 183,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,803.25 : 632,574.68 = 122,305.90 : x
  2. Step 2: Convert to fraction form
    421,803.25/632,574.68 = 122,305.90/x
  3. Step 3: Cross multiply
    421,803.25x = 632,574.68 × 122,305.90
  4. Step 4: Simplify right side
    421,803.25x = 77,367,615,554.61
  5. Step 5: Solve for x
    x = 77,367,615,554.61/421,803.25
  6. Step 6: Final answer
    x = 183,421.10

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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.