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Finding the Fourth Proportional to 513,320.42, 769,981 and 139,343.42

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Solution

The fourth proportional to 513,320.42, 769,981 and 139,343.42 is: 209,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,320.42 : 769,981 = 139,343.42 : x
  2. Step 2: Convert to fraction form
    513,320.42/769,981 = 139,343.42/x
  3. Step 3: Cross multiply
    513,320.42x = 769,981 × 139,343.42
  4. Step 4: Simplify right side
    513,320.42x = 107,291,785,875.02
  5. Step 5: Solve for x
    x = 107,291,785,875.02/513,320.42
  6. Step 6: Final answer
    x = 209,015.23

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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.