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Finding the Fourth Proportional to 429,576.36, 644,117.61 and 177,031.20

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Solution

The fourth proportional to 429,576.36, 644,117.61 and 177,031.20 is: 265,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,576.36 : 644,117.61 = 177,031.20 : x
  2. Step 2: Convert to fraction form
    429,576.36/644,117.61 = 177,031.20/x
  3. Step 3: Cross multiply
    429,576.36x = 644,117.61 × 177,031.20
  4. Step 4: Simplify right side
    429,576.36x = 114,028,913,439.43
  5. Step 5: Solve for x
    x = 114,028,913,439.43/429,576.36
  6. Step 6: Final answer
    x = 265,445.04

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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.