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Finding the Fourth Proportional to 389,473, 584,209.50 and 93,985

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Solution

The fourth proportional to 389,473, 584,209.50 and 93,985 is: 140,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,473 : 584,209.50 = 93,985 : x
  2. Step 2: Convert to fraction form
    389,473/584,209.50 = 93,985/x
  3. Step 3: Cross multiply
    389,473x = 584,209.50 × 93,985
  4. Step 4: Simplify right side
    389,473x = 54,906,929,857.50
  5. Step 5: Solve for x
    x = 54,906,929,857.50/389,473
  6. Step 6: Final answer
    x = 140,977.50

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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.