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Finding the Fourth Proportional to 614,474.02, 920,494.50 and 289,817.52

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Solution

The fourth proportional to 614,474.02, 920,494.50 and 289,817.52 is: 434,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,474.02 : 920,494.50 = 289,817.52 : x
  2. Step 2: Convert to fraction form
    614,474.02/920,494.50 = 289,817.52/x
  3. Step 3: Cross multiply
    614,474.02x = 920,494.50 × 289,817.52
  4. Step 4: Simplify right side
    614,474.02x = 266,775,433,163.64
  5. Step 5: Solve for x
    x = 266,775,433,163.64/614,474.02
  6. Step 6: Final answer
    x = 434,152.50

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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.