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Finding the Fourth Proportional to 340,298.82, 510,524.37 and 103,660.16

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Solution

The fourth proportional to 340,298.82, 510,524.37 and 103,660.16 is: 155,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,298.82 : 510,524.37 = 103,660.16 : x
  2. Step 2: Convert to fraction form
    340,298.82/510,524.37 = 103,660.16/x
  3. Step 3: Cross multiply
    340,298.82x = 510,524.37 × 103,660.16
  4. Step 4: Simplify right side
    340,298.82x = 52,921,035,325.48
  5. Step 5: Solve for x
    x = 52,921,035,325.48/340,298.82
  6. Step 6: Final answer
    x = 155,513.43

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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.