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Finding the Fourth Proportional to 340,315.76, 510,455 and 103,638.62

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Solution

The fourth proportional to 340,315.76, 510,455 and 103,638.62 is: 155,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,315.76 : 510,455 = 103,638.62 : x
  2. Step 2: Convert to fraction form
    340,315.76/510,455 = 103,638.62/x
  3. Step 3: Cross multiply
    340,315.76x = 510,455 × 103,638.62
  4. Step 4: Simplify right side
    340,315.76x = 52,902,851,772.10
  5. Step 5: Solve for x
    x = 52,902,851,772.10/340,315.76
  6. Step 6: Final answer
    x = 155,452.25

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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.