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Finding the Fourth Proportional to 340,416.22, 510,700.16 and 103,777.33

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Solution

The fourth proportional to 340,416.22, 510,700.16 and 103,777.33 is: 155,689.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,416.22 : 510,700.16 = 103,777.33 : x
  2. Step 2: Convert to fraction form
    340,416.22/510,700.16 = 103,777.33/x
  3. Step 3: Cross multiply
    340,416.22x = 510,700.16 × 103,777.33
  4. Step 4: Simplify right side
    340,416.22x = 52,999,099,035.37
  5. Step 5: Solve for x
    x = 52,999,099,035.37/340,416.22
  6. Step 6: Final answer
    x = 155,689.11

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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.