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Finding the Fourth Proportional to 421,802.25, 632,573.18 and 122,304.90

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Solution

The fourth proportional to 421,802.25, 632,573.18 and 122,304.90 is: 183,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,802.25 : 632,573.18 = 122,304.90 : x
  2. Step 2: Convert to fraction form
    421,802.25/632,573.18 = 122,304.90/x
  3. Step 3: Cross multiply
    421,802.25x = 632,573.18 × 122,304.90
  4. Step 4: Simplify right side
    421,802.25x = 77,366,798,815.19
  5. Step 5: Solve for x
    x = 77,366,798,815.19/421,802.25
  6. Step 6: Final answer
    x = 183,419.60

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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.