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Finding the Fourth Proportional to 283,038.57, 390,591.72 and 162,181.71

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Solution

The fourth proportional to 283,038.57, 390,591.72 and 162,181.71 is: 223,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,038.57 : 390,591.72 = 162,181.71 : x
  2. Step 2: Convert to fraction form
    283,038.57/390,591.72 = 162,181.71/x
  3. Step 3: Cross multiply
    283,038.57x = 390,591.72 × 162,181.71
  4. Step 4: Simplify right side
    283,038.57x = 63,346,833,061.44
  5. Step 5: Solve for x
    x = 63,346,833,061.44/283,038.57
  6. Step 6: Final answer
    x = 223,809.90

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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.