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Finding the Fourth Proportional to 289,711.75, 399,803.10 and 160,659.31

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Solution

The fourth proportional to 289,711.75, 399,803.10 and 160,659.31 is: 221,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,711.75 : 399,803.10 = 160,659.31 : x
  2. Step 2: Convert to fraction form
    289,711.75/399,803.10 = 160,659.31/x
  3. Step 3: Cross multiply
    289,711.75x = 399,803.10 × 160,659.31
  4. Step 4: Simplify right side
    289,711.75x = 64,232,088,182.85
  5. Step 5: Solve for x
    x = 64,232,088,182.85/289,711.75
  6. Step 6: Final answer
    x = 221,710.34

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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.