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Finding the Fourth Proportional to 421,874.40, 632,487.60 and 211,663.20

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Solution

The fourth proportional to 421,874.40, 632,487.60 and 211,663.20 is: 317,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,874.40 : 632,487.60 = 211,663.20 : x
  2. Step 2: Convert to fraction form
    421,874.40/632,487.60 = 211,663.20/x
  3. Step 3: Cross multiply
    421,874.40x = 632,487.60 × 211,663.20
  4. Step 4: Simplify right side
    421,874.40x = 133,874,349,376.32
  5. Step 5: Solve for x
    x = 133,874,349,376.32/421,874.40
  6. Step 6: Final answer
    x = 317,332.24

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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.