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Finding the Fourth Proportional to 387,515.26, 580,731.54 and 187,782.67

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Solution

The fourth proportional to 387,515.26, 580,731.54 and 187,782.67 is: 281,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,515.26 : 580,731.54 = 187,782.67 : x
  2. Step 2: Convert to fraction form
    387,515.26/580,731.54 = 187,782.67/x
  3. Step 3: Cross multiply
    387,515.26x = 580,731.54 × 187,782.67
  4. Step 4: Simplify right side
    387,515.26x = 109,051,319,134.41
  5. Step 5: Solve for x
    x = 109,051,319,134.41/387,515.26
  6. Step 6: Final answer
    x = 281,411.68

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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.