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Finding the Fourth Proportional to 289,352.76, 399,302.46 and 160,290.83

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Solution

The fourth proportional to 289,352.76, 399,302.46 and 160,290.83 is: 221,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,352.76 : 399,302.46 = 160,290.83 : x
  2. Step 2: Convert to fraction form
    289,352.76/399,302.46 = 160,290.83/x
  3. Step 3: Cross multiply
    289,352.76x = 399,302.46 × 160,290.83
  4. Step 4: Simplify right side
    289,352.76x = 64,004,520,737.93
  5. Step 5: Solve for x
    x = 64,004,520,737.93/289,352.76
  6. Step 6: Final answer
    x = 221,198.93

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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.