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Finding the Fourth Proportional to 647,040.88, 892,661.84 and 432,321.20

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Solution

The fourth proportional to 647,040.88, 892,661.84 and 432,321.20 is: 596,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,040.88 : 892,661.84 = 432,321.20 : x
  2. Step 2: Convert to fraction form
    647,040.88/892,661.84 = 432,321.20/x
  3. Step 3: Cross multiply
    647,040.88x = 892,661.84 × 432,321.20
  4. Step 4: Simplify right side
    647,040.88x = 385,916,637,863.01
  5. Step 5: Solve for x
    x = 385,916,637,863.01/647,040.88
  6. Step 6: Final answer
    x = 596,433.16

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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.