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Finding the Fourth Proportional to 612,981, 919,471.50 and 169,749

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Solution

The fourth proportional to 612,981, 919,471.50 and 169,749 is: 254,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,981 : 919,471.50 = 169,749 : x
  2. Step 2: Convert to fraction form
    612,981/919,471.50 = 169,749/x
  3. Step 3: Cross multiply
    612,981x = 919,471.50 × 169,749
  4. Step 4: Simplify right side
    612,981x = 156,079,367,653.50
  5. Step 5: Solve for x
    x = 156,079,367,653.50/612,981
  6. Step 6: Final answer
    x = 254,623.50

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1.5x scale

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.