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Finding the Fourth Proportional to 340,032.36, 509,715.72 and 126,643.62

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Solution

The fourth proportional to 340,032.36, 509,715.72 and 126,643.62 is: 189,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,032.36 : 509,715.72 = 126,643.62 : x
  2. Step 2: Convert to fraction form
    340,032.36/509,715.72 = 126,643.62/x
  3. Step 3: Cross multiply
    340,032.36x = 509,715.72 × 126,643.62
  4. Step 4: Simplify right side
    340,032.36x = 64,552,243,951.71
  5. Step 5: Solve for x
    x = 64,552,243,951.71/340,032.36
  6. Step 6: Final answer
    x = 189,841.47

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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.