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Finding the Fourth Proportional to 289,342.64, 399,283.81 and 160,275.93

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Solution

The fourth proportional to 289,342.64, 399,283.81 and 160,275.93 is: 221,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,342.64 : 399,283.81 = 160,275.93 : x
  2. Step 2: Convert to fraction form
    289,342.64/399,283.81 = 160,275.93/x
  3. Step 3: Cross multiply
    289,342.64x = 399,283.81 × 160,275.93
  4. Step 4: Simplify right side
    289,342.64x = 63,995,582,083.69
  5. Step 5: Solve for x
    x = 63,995,582,083.69/289,342.64
  6. Step 6: Final answer
    x = 221,175.77

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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.