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Finding the Fourth Proportional to 340,339, 510,512.61 and 103,683.73

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Solution

The fourth proportional to 340,339, 510,512.61 and 103,683.73 is: 155,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,339 : 510,512.61 = 103,683.73 : x
  2. Step 2: Convert to fraction form
    340,339/510,512.61 = 103,683.73/x
  3. Step 3: Cross multiply
    340,339x = 510,512.61 × 103,683.73
  4. Step 4: Simplify right side
    340,339x = 52,931,851,616.84
  5. Step 5: Solve for x
    x = 52,931,851,616.84/340,339
  6. Step 6: Final answer
    x = 155,526.85

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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.