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Finding the Fourth Proportional to 783,328, 1,080,999.12 and 425,632

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Solution

The fourth proportional to 783,328, 1,080,999.12 and 425,632 is: 587,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,328 : 1,080,999.12 = 425,632 : x
  2. Step 2: Convert to fraction form
    783,328/1,080,999.12 = 425,632/x
  3. Step 3: Cross multiply
    783,328x = 1,080,999.12 × 425,632
  4. Step 4: Simplify right side
    783,328x = 460,107,817,443.84
  5. Step 5: Solve for x
    x = 460,107,817,443.84/783,328
  6. Step 6: Final answer
    x = 587,375.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.