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Finding the Fourth Proportional to 389,903.49, 584,911.02 and 120,054.45

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Solution

The fourth proportional to 389,903.49, 584,911.02 and 120,054.45 is: 180,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,903.49 : 584,911.02 = 120,054.45 : x
  2. Step 2: Convert to fraction form
    389,903.49/584,911.02 = 120,054.45/x
  3. Step 3: Cross multiply
    389,903.49x = 584,911.02 × 120,054.45
  4. Step 4: Simplify right side
    389,903.49x = 70,221,170,805.04
  5. Step 5: Solve for x
    x = 70,221,170,805.04/389,903.49
  6. Step 6: Final answer
    x = 180,098.85

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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.