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Finding the Fourth Proportional to 289,531.64, 399,595.86 and 162,215.84

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Solution

The fourth proportional to 289,531.64, 399,595.86 and 162,215.84 is: 223,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,531.64 : 399,595.86 = 162,215.84 : x
  2. Step 2: Convert to fraction form
    289,531.64/399,595.86 = 162,215.84/x
  3. Step 3: Cross multiply
    289,531.64x = 399,595.86 × 162,215.84
  4. Step 4: Simplify right side
    289,531.64x = 64,820,778,090.42
  5. Step 5: Solve for x
    x = 64,820,778,090.42/289,531.64
  6. Step 6: Final answer
    x = 223,881.50

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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.