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Finding the Fourth Proportional to 489,454.46, 734,152.07 and 291,037.52

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Solution

The fourth proportional to 489,454.46, 734,152.07 and 291,037.52 is: 436,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,454.46 : 734,152.07 = 291,037.52 : x
  2. Step 2: Convert to fraction form
    489,454.46/734,152.07 = 291,037.52/x
  3. Step 3: Cross multiply
    489,454.46x = 734,152.07 × 291,037.52
  4. Step 4: Simplify right side
    489,454.46x = 213,665,800,318.64
  5. Step 5: Solve for x
    x = 213,665,800,318.64/489,454.46
  6. Step 6: Final answer
    x = 436,538.67

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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.