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Finding the Fourth Proportional to 513,687.60, 770,531.40 and 139,710.60

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Solution

The fourth proportional to 513,687.60, 770,531.40 and 139,710.60 is: 209,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,687.60 : 770,531.40 = 139,710.60 : x
  2. Step 2: Convert to fraction form
    513,687.60/770,531.40 = 139,710.60/x
  3. Step 3: Cross multiply
    513,687.60x = 770,531.40 × 139,710.60
  4. Step 4: Simplify right side
    513,687.60x = 107,651,404,212.84
  5. Step 5: Solve for x
    x = 107,651,404,212.84/513,687.60
  6. Step 6: Final answer
    x = 209,565.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.