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Finding the Fourth Proportional to 286,104.87, 429,157.31 and 152,580.60

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Solution

The fourth proportional to 286,104.87, 429,157.31 and 152,580.60 is: 228,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,104.87 : 429,157.31 = 152,580.60 : x
  2. Step 2: Convert to fraction form
    286,104.87/429,157.31 = 152,580.60/x
  3. Step 3: Cross multiply
    286,104.87x = 429,157.31 × 152,580.60
  4. Step 4: Simplify right side
    286,104.87x = 65,481,079,854.19
  5. Step 5: Solve for x
    x = 65,481,079,854.19/286,104.87
  6. Step 6: Final answer
    x = 228,870.90

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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.