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Finding the Fourth Proportional to 426,830.34, 640,315.00 and 199,353.43

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Solution

The fourth proportional to 426,830.34, 640,315.00 and 199,353.43 is: 299,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,830.34 : 640,315.00 = 199,353.43 : x
  2. Step 2: Convert to fraction form
    426,830.34/640,315.00 = 199,353.43/x
  3. Step 3: Cross multiply
    426,830.34x = 640,315.00 × 199,353.43
  4. Step 4: Simplify right side
    426,830.34x = 127,648,992,134.47
  5. Step 5: Solve for x
    x = 127,648,992,134.47/426,830.34
  6. Step 6: Final answer
    x = 299,062.60

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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.