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Finding the Fourth Proportional to 522,812.80, 784,802.40 and 488,549.80

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Solution

The fourth proportional to 522,812.80, 784,802.40 and 488,549.80 is: 733,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,812.80 : 784,802.40 = 488,549.80 : x
  2. Step 2: Convert to fraction form
    522,812.80/784,802.40 = 488,549.80/x
  3. Step 3: Cross multiply
    522,812.80x = 784,802.40 × 488,549.80
  4. Step 4: Simplify right side
    522,812.80x = 383,415,055,559.52
  5. Step 5: Solve for x
    x = 383,415,055,559.52/522,812.80
  6. Step 6: Final answer
    x = 733,369.68

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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.