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Finding the Fourth Proportional to 421,569.93, 632,363.10 and 155,193.33

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Solution

The fourth proportional to 421,569.93, 632,363.10 and 155,193.33 is: 232,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,569.93 : 632,363.10 = 155,193.33 : x
  2. Step 2: Convert to fraction form
    421,569.93/632,363.10 = 155,193.33/x
  3. Step 3: Cross multiply
    421,569.93x = 632,363.10 × 155,193.33
  4. Step 4: Simplify right side
    421,569.93x = 98,138,537,920.47
  5. Step 5: Solve for x
    x = 98,138,537,920.47/421,569.93
  6. Step 6: Final answer
    x = 232,793.02

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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.