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Finding the Fourth Proportional to 421,648.56, 632,175.17 and 155,374.02

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Solution

The fourth proportional to 421,648.56, 632,175.17 and 155,374.02 is: 232,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,648.56 : 632,175.17 = 155,374.02 : x
  2. Step 2: Convert to fraction form
    421,648.56/632,175.17 = 155,374.02/x
  3. Step 3: Cross multiply
    421,648.56x = 632,175.17 × 155,374.02
  4. Step 4: Simplify right side
    421,648.56x = 98,223,596,730.21
  5. Step 5: Solve for x
    x = 98,223,596,730.21/421,648.56
  6. Step 6: Final answer
    x = 232,951.34

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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.