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Finding the Fourth Proportional to 285,654.42, 428,541.66 and 108,157.50

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Solution

The fourth proportional to 285,654.42, 428,541.66 and 108,157.50 is: 162,258.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,654.42 : 428,541.66 = 108,157.50 : x
  2. Step 2: Convert to fraction form
    285,654.42/428,541.66 = 108,157.50/x
  3. Step 3: Cross multiply
    285,654.42x = 428,541.66 × 108,157.50
  4. Step 4: Simplify right side
    285,654.42x = 46,349,994,591.45
  5. Step 5: Solve for x
    x = 46,349,994,591.45/285,654.42
  6. Step 6: Final answer
    x = 162,258.98

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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.