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Finding the Fourth Proportional to 289,717.10, 399,802.22 and 160,653.52

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Solution

The fourth proportional to 289,717.10, 399,802.22 and 160,653.52 is: 221,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,717.10 : 399,802.22 = 160,653.52 : x
  2. Step 2: Convert to fraction form
    289,717.10/399,802.22 = 160,653.52/x
  3. Step 3: Cross multiply
    289,717.10x = 399,802.22 × 160,653.52
  4. Step 4: Simplify right side
    289,717.10x = 64,229,633,490.36
  5. Step 5: Solve for x
    x = 64,229,633,490.36/289,717.10
  6. Step 6: Final answer
    x = 221,697.76

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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.