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Finding the Fourth Proportional to 522,780.40, 784,252.69 and 223,262.55

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Solution

The fourth proportional to 522,780.40, 784,252.69 and 223,262.55 is: 334,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,780.40 : 784,252.69 = 223,262.55 : x
  2. Step 2: Convert to fraction form
    522,780.40/784,252.69 = 223,262.55/x
  3. Step 3: Cross multiply
    522,780.40x = 784,252.69 × 223,262.55
  4. Step 4: Simplify right side
    522,780.40x = 175,094,255,413.76
  5. Step 5: Solve for x
    x = 175,094,255,413.76/522,780.40
  6. Step 6: Final answer
    x = 334,928.88

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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.