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Finding the Fourth Proportional to 287,433.98, 431,335.43 and 192,771.02

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Solution

The fourth proportional to 287,433.98, 431,335.43 and 192,771.02 is: 289,280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,433.98 : 431,335.43 = 192,771.02 : x
  2. Step 2: Convert to fraction form
    287,433.98/431,335.43 = 192,771.02/x
  3. Step 3: Cross multiply
    287,433.98x = 431,335.43 × 192,771.02
  4. Step 4: Simplify right side
    287,433.98x = 83,148,967,682.71
  5. Step 5: Solve for x
    x = 83,148,967,682.71/287,433.98
  6. Step 6: Final answer
    x = 289,280.23

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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.