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Finding the Fourth Proportional to 519,446.42, 716,847.25 and 286,872.63

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Solution

The fourth proportional to 519,446.42, 716,847.25 and 286,872.63 is: 395,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,446.42 : 716,847.25 = 286,872.63 : x
  2. Step 2: Convert to fraction form
    519,446.42/716,847.25 = 286,872.63/x
  3. Step 3: Cross multiply
    519,446.42x = 716,847.25 × 286,872.63
  4. Step 4: Simplify right side
    519,446.42x = 205,643,855,915.77
  5. Step 5: Solve for x
    x = 205,643,855,915.77/519,446.42
  6. Step 6: Final answer
    x = 395,890.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.