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Finding the Fourth Proportional to 354,001.60, 530,224.80 and 213,515.20

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Solution

The fourth proportional to 354,001.60, 530,224.80 and 213,515.20 is: 319,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,001.60 : 530,224.80 = 213,515.20 : x
  2. Step 2: Convert to fraction form
    354,001.60/530,224.80 = 213,515.20/x
  3. Step 3: Cross multiply
    354,001.60x = 530,224.80 × 213,515.20
  4. Step 4: Simplify right side
    354,001.60x = 113,211,054,216.96
  5. Step 5: Solve for x
    x = 113,211,054,216.96/354,001.60
  6. Step 6: Final answer
    x = 319,803.79

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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.