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Finding the Fourth Proportional to 288,598.64, 432,985.56 and 138,796.42

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Solution

The fourth proportional to 288,598.64, 432,985.56 and 138,796.42 is: 208,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,598.64 : 432,985.56 = 138,796.42 : x
  2. Step 2: Convert to fraction form
    288,598.64/432,985.56 = 138,796.42/x
  3. Step 3: Cross multiply
    288,598.64x = 432,985.56 × 138,796.42
  4. Step 4: Simplify right side
    288,598.64x = 60,096,845,639.70
  5. Step 5: Solve for x
    x = 60,096,845,639.70/288,598.64
  6. Step 6: Final answer
    x = 208,236.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.