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Finding the Fourth Proportional to 522,772.80, 784,742.40 and 488,509.80

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Solution

The fourth proportional to 522,772.80, 784,742.40 and 488,509.80 is: 733,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,772.80 : 784,742.40 = 488,509.80 : x
  2. Step 2: Convert to fraction form
    522,772.80/784,742.40 = 488,509.80/x
  3. Step 3: Cross multiply
    522,772.80x = 784,742.40 × 488,509.80
  4. Step 4: Simplify right side
    522,772.80x = 383,354,352,875.52
  5. Step 5: Solve for x
    x = 383,354,352,875.52/522,772.80
  6. Step 6: Final answer
    x = 733,309.68

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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.