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Finding the Fourth Proportional to 648,058.70, 971,310.45 and 332,353.10

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Solution

The fourth proportional to 648,058.70, 971,310.45 and 332,353.10 is: 498,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,058.70 : 971,310.45 = 332,353.10 : x
  2. Step 2: Convert to fraction form
    648,058.70/971,310.45 = 332,353.10/x
  3. Step 3: Cross multiply
    648,058.70x = 971,310.45 × 332,353.10
  4. Step 4: Simplify right side
    648,058.70x = 322,818,039,119.90
  5. Step 5: Solve for x
    x = 322,818,039,119.90/648,058.70
  6. Step 6: Final answer
    x = 498,130.86

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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.