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Finding the Fourth Proportional to 389,881.50, 538,038.09 and 211,033.50

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Solution

The fourth proportional to 389,881.50, 538,038.09 and 211,033.50 is: 291,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,881.50 : 538,038.09 = 211,033.50 : x
  2. Step 2: Convert to fraction form
    389,881.50/538,038.09 = 211,033.50/x
  3. Step 3: Cross multiply
    389,881.50x = 538,038.09 × 211,033.50
  4. Step 4: Simplify right side
    389,881.50x = 113,544,061,266.02
  5. Step 5: Solve for x
    x = 113,544,061,266.02/389,881.50
  6. Step 6: Final answer
    x = 291,227.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.