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Finding the Fourth Proportional to 612,861.88, 919,289.84 and 157,452.74

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Solution

The fourth proportional to 612,861.88, 919,289.84 and 157,452.74 is: 236,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,861.88 : 919,289.84 = 157,452.74 : x
  2. Step 2: Convert to fraction form
    612,861.88/919,289.84 = 157,452.74/x
  3. Step 3: Cross multiply
    612,861.88x = 919,289.84 × 157,452.74
  4. Step 4: Simplify right side
    612,861.88x = 144,744,704,162.16
  5. Step 5: Solve for x
    x = 144,744,704,162.16/612,861.88
  6. Step 6: Final answer
    x = 236,178.34

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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.