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Finding the Fourth Proportional to 482,822.88, 725,415.12 and 455,966.40

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Solution

The fourth proportional to 482,822.88, 725,415.12 and 455,966.40 is: 685,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,822.88 : 725,415.12 = 455,966.40 : x
  2. Step 2: Convert to fraction form
    482,822.88/725,415.12 = 455,966.40/x
  3. Step 3: Cross multiply
    482,822.88x = 725,415.12 × 455,966.40
  4. Step 4: Simplify right side
    482,822.88x = 330,764,920,771.97
  5. Step 5: Solve for x
    x = 330,764,920,771.97/482,822.88
  6. Step 6: Final answer
    x = 685,064.72

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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.