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Finding the Fourth Proportional to 354,221.71, 531,070.11 and 213,947.53

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Solution

The fourth proportional to 354,221.71, 531,070.11 and 213,947.53 is: 320,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,221.71 : 531,070.11 = 213,947.53 : x
  2. Step 2: Convert to fraction form
    354,221.71/531,070.11 = 213,947.53/x
  3. Step 3: Cross multiply
    354,221.71x = 531,070.11 × 213,947.53
  4. Step 4: Simplify right side
    354,221.71x = 113,621,136,963.65
  5. Step 5: Solve for x
    x = 113,621,136,963.65/354,221.71
  6. Step 6: Final answer
    x = 320,762.77

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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.