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Finding the Fourth Proportional to 421,893.30, 632,889.04 and 148,255.40

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Solution

The fourth proportional to 421,893.30, 632,889.04 and 148,255.40 is: 222,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,893.30 : 632,889.04 = 148,255.40 : x
  2. Step 2: Convert to fraction form
    421,893.30/632,889.04 = 148,255.40/x
  3. Step 3: Cross multiply
    421,893.30x = 632,889.04 × 148,255.40
  4. Step 4: Simplify right side
    421,893.30x = 93,829,217,780.82
  5. Step 5: Solve for x
    x = 93,829,217,780.82/421,893.30
  6. Step 6: Final answer
    x = 222,400.35

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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.