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Finding the Fourth Proportional to 523,690.91, 785,880.81 and 287,199.66

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Solution

The fourth proportional to 523,690.91, 785,880.81 and 287,199.66 is: 430,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,690.91 : 785,880.81 = 287,199.66 : x
  2. Step 2: Convert to fraction form
    523,690.91/785,880.81 = 287,199.66/x
  3. Step 3: Cross multiply
    523,690.91x = 785,880.81 × 287,199.66
  4. Step 4: Simplify right side
    523,690.91x = 225,704,701,432.53
  5. Step 5: Solve for x
    x = 225,704,701,432.53/523,690.91
  6. Step 6: Final answer
    x = 430,988.39

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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.