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Finding the Fourth Proportional to 570,763.60, 786,906.84 and 491,047.36

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Solution

The fourth proportional to 570,763.60, 786,906.84 and 491,047.36 is: 677,002.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,763.60 : 786,906.84 = 491,047.36 : x
  2. Step 2: Convert to fraction form
    570,763.60/786,906.84 = 491,047.36/x
  3. Step 3: Cross multiply
    570,763.60x = 786,906.84 × 491,047.36
  4. Step 4: Simplify right side
    570,763.60x = 386,408,526,347.94
  5. Step 5: Solve for x
    x = 386,408,526,347.94/570,763.60
  6. Step 6: Final answer
    x = 677,002.75

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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.