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Finding the Fourth Proportional to 413,979.52, 620,772.72 and 189,273.28

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Solution

The fourth proportional to 413,979.52, 620,772.72 and 189,273.28 is: 283,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,979.52 : 620,772.72 = 189,273.28 : x
  2. Step 2: Convert to fraction form
    413,979.52/620,772.72 = 189,273.28/x
  3. Step 3: Cross multiply
    413,979.52x = 620,772.72 × 189,273.28
  4. Step 4: Simplify right side
    413,979.52x = 117,495,688,848.92
  5. Step 5: Solve for x
    x = 117,495,688,848.92/413,979.52
  6. Step 6: Final answer
    x = 283,820.05

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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.