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Finding the Fourth Proportional to 567,494.64, 783,137.32 and 309,371.60

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Solution

The fourth proportional to 567,494.64, 783,137.32 and 309,371.60 is: 426,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,494.64 : 783,137.32 = 309,371.60 : x
  2. Step 2: Convert to fraction form
    567,494.64/783,137.32 = 309,371.60/x
  3. Step 3: Cross multiply
    567,494.64x = 783,137.32 × 309,371.60
  4. Step 4: Simplify right side
    567,494.64x = 242,280,445,708.11
  5. Step 5: Solve for x
    x = 242,280,445,708.11/567,494.64
  6. Step 6: Final answer
    x = 426,929.93

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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.