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Finding the Fourth Proportional to 421,813.74, 632,868.24 and 122,312.28

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Solution

The fourth proportional to 421,813.74, 632,868.24 and 122,312.28 is: 183,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,813.74 : 632,868.24 = 122,312.28 : x
  2. Step 2: Convert to fraction form
    421,813.74/632,868.24 = 122,312.28/x
  3. Step 3: Cross multiply
    421,813.74x = 632,868.24 × 122,312.28
  4. Step 4: Simplify right side
    421,813.74x = 77,407,557,373.99
  5. Step 5: Solve for x
    x = 77,407,557,373.99/421,813.74
  6. Step 6: Final answer
    x = 183,511.23

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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.