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Finding the Fourth Proportional to 340,042.36, 509,730.72 and 126,653.62

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Solution

The fourth proportional to 340,042.36, 509,730.72 and 126,653.62 is: 189,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,042.36 : 509,730.72 = 126,653.62 : x
  2. Step 2: Convert to fraction form
    340,042.36/509,730.72 = 126,653.62/x
  3. Step 3: Cross multiply
    340,042.36x = 509,730.72 × 126,653.62
  4. Step 4: Simplify right side
    340,042.36x = 64,559,240,913.21
  5. Step 5: Solve for x
    x = 64,559,240,913.21/340,042.36
  6. Step 6: Final answer
    x = 189,856.47

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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.