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Finding the Fourth Proportional to 413,576.48, 619,492.86 and 189,125.79

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Solution

The fourth proportional to 413,576.48, 619,492.86 and 189,125.79 is: 283,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,576.48 : 619,492.86 = 189,125.79 : x
  2. Step 2: Convert to fraction form
    413,576.48/619,492.86 = 189,125.79/x
  3. Step 3: Cross multiply
    413,576.48x = 619,492.86 × 189,125.79
  4. Step 4: Simplify right side
    413,576.48x = 117,162,074,223.76
  5. Step 5: Solve for x
    x = 117,162,074,223.76/413,576.48
  6. Step 6: Final answer
    x = 283,289.98

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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.