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Finding the Fourth Proportional to 536,064.95, 803,974.61 and 319,984.70

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Solution

The fourth proportional to 536,064.95, 803,974.61 and 319,984.70 is: 479,903.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,064.95 : 803,974.61 = 319,984.70 : x
  2. Step 2: Convert to fraction form
    536,064.95/803,974.61 = 319,984.70/x
  3. Step 3: Cross multiply
    536,064.95x = 803,974.61 × 319,984.70
  4. Step 4: Simplify right side
    536,064.95x = 257,259,571,168.56
  5. Step 5: Solve for x
    x = 257,259,571,168.56/536,064.95
  6. Step 6: Final answer
    x = 479,903.73

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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.