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Finding the Fourth Proportional to 548,647.20, 822,970.80 and 478,663.20

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Solution

The fourth proportional to 548,647.20, 822,970.80 and 478,663.20 is: 717,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,647.20 : 822,970.80 = 478,663.20 : x
  2. Step 2: Convert to fraction form
    548,647.20/822,970.80 = 478,663.20/x
  3. Step 3: Cross multiply
    548,647.20x = 822,970.80 × 478,663.20
  4. Step 4: Simplify right side
    548,647.20x = 393,925,836,634.56
  5. Step 5: Solve for x
    x = 393,925,836,634.56/548,647.20
  6. Step 6: Final answer
    x = 717,994.80

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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.