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Finding the Fourth Proportional to 522,023.20, 783,142.80 and 297,491.20

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Solution

The fourth proportional to 522,023.20, 783,142.80 and 297,491.20 is: 446,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,023.20 : 783,142.80 = 297,491.20 : x
  2. Step 2: Convert to fraction form
    522,023.20/783,142.80 = 297,491.20/x
  3. Step 3: Cross multiply
    522,023.20x = 783,142.80 × 297,491.20
  4. Step 4: Simplify right side
    522,023.20x = 232,978,091,343.36
  5. Step 5: Solve for x
    x = 232,978,091,343.36/522,023.20
  6. Step 6: Final answer
    x = 446,298.35

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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.