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Finding the Fourth Proportional to 289,370.69, 399,330.77 and 160,309.40

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Solution

The fourth proportional to 289,370.69, 399,330.77 and 160,309.40 is: 221,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,370.69 : 399,330.77 = 160,309.40 : x
  2. Step 2: Convert to fraction form
    289,370.69/399,330.77 = 160,309.40/x
  3. Step 3: Cross multiply
    289,370.69x = 399,330.77 × 160,309.40
  4. Step 4: Simplify right side
    289,370.69x = 64,016,476,337.02
  5. Step 5: Solve for x
    x = 64,016,476,337.02/289,370.69
  6. Step 6: Final answer
    x = 221,226.54

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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.