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Finding the Fourth Proportional to 409,782.42, 614,323 and 157,244.12

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Solution

The fourth proportional to 409,782.42, 614,323 and 157,244.12 is: 235,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,782.42 : 614,323 = 157,244.12 : x
  2. Step 2: Convert to fraction form
    409,782.42/614,323 = 157,244.12/x
  3. Step 3: Cross multiply
    409,782.42x = 614,323 × 157,244.12
  4. Step 4: Simplify right side
    409,782.42x = 96,598,679,530.76
  5. Step 5: Solve for x
    x = 96,598,679,530.76/409,782.42
  6. Step 6: Final answer
    x = 235,731.63

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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.