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Finding the Fourth Proportional to 421,421.96, 632,116.08 and 232,257.32

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Solution

The fourth proportional to 421,421.96, 632,116.08 and 232,257.32 is: 348,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,421.96 : 632,116.08 = 232,257.32 : x
  2. Step 2: Convert to fraction form
    421,421.96/632,116.08 = 232,257.32/x
  3. Step 3: Cross multiply
    421,421.96x = 632,116.08 × 232,257.32
  4. Step 4: Simplify right side
    421,421.96x = 146,813,586,669.71
  5. Step 5: Solve for x
    x = 146,813,586,669.71/421,421.96
  6. Step 6: Final answer
    x = 348,376.69

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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.