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Finding the Fourth Proportional to 619,468.20, 928,830.54 and 214,527

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Solution

The fourth proportional to 619,468.20, 928,830.54 and 214,527 is: 321,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,468.20 : 928,830.54 = 214,527 : x
  2. Step 2: Convert to fraction form
    619,468.20/928,830.54 = 214,527/x
  3. Step 3: Cross multiply
    619,468.20x = 928,830.54 × 214,527
  4. Step 4: Simplify right side
    619,468.20x = 199,259,229,254.58
  5. Step 5: Solve for x
    x = 199,259,229,254.58/619,468.20
  6. Step 6: Final answer
    x = 321,661.76

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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.