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Finding the Fourth Proportional to 522,871.20, 784,290.60 and 148,894.20

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Solution

The fourth proportional to 522,871.20, 784,290.60 and 148,894.20 is: 223,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,871.20 : 784,290.60 = 148,894.20 : x
  2. Step 2: Convert to fraction form
    522,871.20/784,290.60 = 148,894.20/x
  3. Step 3: Cross multiply
    522,871.20x = 784,290.60 × 148,894.20
  4. Step 4: Simplify right side
    522,871.20x = 116,776,321,454.52
  5. Step 5: Solve for x
    x = 116,776,321,454.52/522,871.20
  6. Step 6: Final answer
    x = 223,336.69

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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.