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Finding the Fourth Proportional to 568,013.19, 783,830.87 and 309,874.74

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Solution

The fourth proportional to 568,013.19, 783,830.87 and 309,874.74 is: 427,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,013.19 : 783,830.87 = 309,874.74 : x
  2. Step 2: Convert to fraction form
    568,013.19/783,830.87 = 309,874.74/x
  3. Step 3: Cross multiply
    568,013.19x = 783,830.87 × 309,874.74
  4. Step 4: Simplify right side
    568,013.19x = 242,889,385,495.85
  5. Step 5: Solve for x
    x = 242,889,385,495.85/568,013.19
  6. Step 6: Final answer
    x = 427,612.23

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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.