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Finding the Fourth Proportional to 522,722.16, 784,432.80 and 223,272.72

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Solution

The fourth proportional to 522,722.16, 784,432.80 and 223,272.72 is: 335,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,722.16 : 784,432.80 = 223,272.72 : x
  2. Step 2: Convert to fraction form
    522,722.16/784,432.80 = 223,272.72/x
  3. Step 3: Cross multiply
    522,722.16x = 784,432.80 × 223,272.72
  4. Step 4: Simplify right side
    522,722.16x = 175,142,444,913.22
  5. Step 5: Solve for x
    x = 175,142,444,913.22/522,722.16
  6. Step 6: Final answer
    x = 335,058.39

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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.