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Finding the Fourth Proportional to 514,366.08, 770,813.90 and 289,254

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Solution

The fourth proportional to 514,366.08, 770,813.90 and 289,254 is: 433,467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,366.08 : 770,813.90 = 289,254 : x
  2. Step 2: Convert to fraction form
    514,366.08/770,813.90 = 289,254/x
  3. Step 3: Cross multiply
    514,366.08x = 770,813.90 × 289,254
  4. Step 4: Simplify right side
    514,366.08x = 222,961,003,830.60
  5. Step 5: Solve for x
    x = 222,961,003,830.60/514,366.08
  6. Step 6: Final answer
    x = 433,467.55

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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.