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Finding the Fourth Proportional to 213,044.64, 319,262.36 and 156,440.67

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Solution

The fourth proportional to 213,044.64, 319,262.36 and 156,440.67 is: 234,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,044.64 : 319,262.36 = 156,440.67 : x
  2. Step 2: Convert to fraction form
    213,044.64/319,262.36 = 156,440.67/x
  3. Step 3: Cross multiply
    213,044.64x = 319,262.36 × 156,440.67
  4. Step 4: Simplify right side
    213,044.64x = 49,945,616,721.98
  5. Step 5: Solve for x
    x = 49,945,616,721.98/213,044.64
  6. Step 6: Final answer
    x = 234,437.33

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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.