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Finding the Fourth Proportional to 563,942.62, 778,290.02 and 309,343

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Solution

The fourth proportional to 563,942.62, 778,290.02 and 309,343 is: 426,920.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,942.62 : 778,290.02 = 309,343 : x
  2. Step 2: Convert to fraction form
    563,942.62/778,290.02 = 309,343/x
  3. Step 3: Cross multiply
    563,942.62x = 778,290.02 × 309,343
  4. Step 4: Simplify right side
    563,942.62x = 240,758,569,656.86
  5. Step 5: Solve for x
    x = 240,758,569,656.86/563,942.62
  6. Step 6: Final answer
    x = 426,920.33

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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.