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Finding the Fourth Proportional to 283,098.64, 390,686.72 and 162,263.20

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Solution

The fourth proportional to 283,098.64, 390,686.72 and 162,263.20 is: 223,929.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,098.64 : 390,686.72 = 162,263.20 : x
  2. Step 2: Convert to fraction form
    283,098.64/390,686.72 = 162,263.20/x
  3. Step 3: Cross multiply
    283,098.64x = 390,686.72 × 162,263.20
  4. Step 4: Simplify right side
    283,098.64x = 63,394,077,384.70
  5. Step 5: Solve for x
    x = 63,394,077,384.70/283,098.64
  6. Step 6: Final answer
    x = 223,929.29

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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.