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Finding the Fourth Proportional to 421,459.98, 632,058.76 and 140,911.62

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Solution

The fourth proportional to 421,459.98, 632,058.76 and 140,911.62 is: 211,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,459.98 : 632,058.76 = 140,911.62 : x
  2. Step 2: Convert to fraction form
    421,459.98/632,058.76 = 140,911.62/x
  3. Step 3: Cross multiply
    421,459.98x = 632,058.76 × 140,911.62
  4. Step 4: Simplify right side
    421,459.98x = 89,064,423,806.79
  5. Step 5: Solve for x
    x = 89,064,423,806.79/421,459.98
  6. Step 6: Final answer
    x = 211,323.56

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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.