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Finding the Fourth Proportional to 354,011.40, 530,433.90 and 301,523.40

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Solution

The fourth proportional to 354,011.40, 530,433.90 and 301,523.40 is: 451,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,011.40 : 530,433.90 = 301,523.40 : x
  2. Step 2: Convert to fraction form
    354,011.40/530,433.90 = 301,523.40/x
  3. Step 3: Cross multiply
    354,011.40x = 530,433.90 × 301,523.40
  4. Step 4: Simplify right side
    354,011.40x = 159,938,233,003.26
  5. Step 5: Solve for x
    x = 159,938,233,003.26/354,011.40
  6. Step 6: Final answer
    x = 451,788.37

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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.