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Finding the Fourth Proportional to 421,436.96, 632,138.52 and 232,272.32

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Solution

The fourth proportional to 421,436.96, 632,138.52 and 232,272.32 is: 348,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,436.96 : 632,138.52 = 232,272.32 : x
  2. Step 2: Convert to fraction form
    421,436.96/632,138.52 = 232,272.32/x
  3. Step 3: Cross multiply
    421,436.96x = 632,138.52 × 232,272.32
  4. Step 4: Simplify right side
    421,436.96x = 146,828,280,601.77
  5. Step 5: Solve for x
    x = 146,828,280,601.77/421,436.96
  6. Step 6: Final answer
    x = 348,399.15

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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.