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Finding the Fourth Proportional to 567,765.83, 783,517.59 and 309,643.34

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Solution

The fourth proportional to 567,765.83, 783,517.59 and 309,643.34 is: 427,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,765.83 : 783,517.59 = 309,643.34 : x
  2. Step 2: Convert to fraction form
    567,765.83/783,517.59 = 309,643.34/x
  3. Step 3: Cross multiply
    567,765.83x = 783,517.59 × 309,643.34
  4. Step 4: Simplify right side
    567,765.83x = 242,610,999,598.76
  5. Step 5: Solve for x
    x = 242,610,999,598.76/567,765.83
  6. Step 6: Final answer
    x = 427,308.21

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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.