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Finding the Fourth Proportional to 402,674.50, 604,015.40 and 122,191.75

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Solution

The fourth proportional to 402,674.50, 604,015.40 and 122,191.75 is: 183,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,674.50 : 604,015.40 = 122,191.75 : x
  2. Step 2: Convert to fraction form
    402,674.50/604,015.40 = 122,191.75/x
  3. Step 3: Cross multiply
    402,674.50x = 604,015.40 × 122,191.75
  4. Step 4: Simplify right side
    402,674.50x = 73,805,698,752.95
  5. Step 5: Solve for x
    x = 73,805,698,752.95/402,674.50
  6. Step 6: Final answer
    x = 183,288.73

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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.