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Finding the Fourth Proportional to 567,622.91, 783,325.74 and 309,497.78

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Solution

The fourth proportional to 567,622.91, 783,325.74 and 309,497.78 is: 427,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,622.91 : 783,325.74 = 309,497.78 : x
  2. Step 2: Convert to fraction form
    567,622.91/783,325.74 = 309,497.78/x
  3. Step 3: Cross multiply
    567,622.91x = 783,325.74 × 309,497.78
  4. Step 4: Simplify right side
    567,622.91x = 242,437,573,630.23
  5. Step 5: Solve for x
    x = 242,437,573,630.23/567,622.91
  6. Step 6: Final answer
    x = 427,110.27

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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.