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Finding the Fourth Proportional to 313,490.64, 471,930.82 and 285,590

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Solution

The fourth proportional to 313,490.64, 471,930.82 and 285,590 is: 429,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,490.64 : 471,930.82 = 285,590 : x
  2. Step 2: Convert to fraction form
    313,490.64/471,930.82 = 285,590/x
  3. Step 3: Cross multiply
    313,490.64x = 471,930.82 × 285,590
  4. Step 4: Simplify right side
    313,490.64x = 134,778,722,883.80
  5. Step 5: Solve for x
    x = 134,778,722,883.80/313,490.64
  6. Step 6: Final answer
    x = 429,929.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.