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Finding the Fourth Proportional to 340,435.14, 510,729.29 and 103,801.74

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Solution

The fourth proportional to 340,435.14, 510,729.29 and 103,801.74 is: 155,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,435.14 : 510,729.29 = 103,801.74 : x
  2. Step 2: Convert to fraction form
    340,435.14/510,729.29 = 103,801.74/x
  3. Step 3: Cross multiply
    340,435.14x = 510,729.29 × 103,801.74
  4. Step 4: Simplify right side
    340,435.14x = 53,014,588,451.96
  5. Step 5: Solve for x
    x = 53,014,588,451.96/340,435.14
  6. Step 6: Final answer
    x = 155,725.96

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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.