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Finding the Fourth Proportional to 891,505.77, 1,229,978.63 and 509,261.85

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Solution

The fourth proportional to 891,505.77, 1,229,978.63 and 509,261.85 is: 702,610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,505.77 : 1,229,978.63 = 509,261.85 : x
  2. Step 2: Convert to fraction form
    891,505.77/1,229,978.63 = 509,261.85/x
  3. Step 3: Cross multiply
    891,505.77x = 1,229,978.63 × 509,261.85
  4. Step 4: Simplify right side
    891,505.77x = 626,381,190,027.96
  5. Step 5: Solve for x
    x = 626,381,190,027.96/891,505.77
  6. Step 6: Final answer
    x = 702,610.36

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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.