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Finding the Fourth Proportional to 283,264.48, 390,889.74 and 162,399.88

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Solution

The fourth proportional to 283,264.48, 390,889.74 and 162,399.88 is: 224,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,264.48 : 390,889.74 = 162,399.88 : x
  2. Step 2: Convert to fraction form
    283,264.48/390,889.74 = 162,399.88/x
  3. Step 3: Cross multiply
    283,264.48x = 390,889.74 × 162,399.88
  4. Step 4: Simplify right side
    283,264.48x = 63,480,446,869.23
  5. Step 5: Solve for x
    x = 63,480,446,869.23/283,264.48
  6. Step 6: Final answer
    x = 224,103.10

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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.