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Finding the Fourth Proportional to 340,267.84, 510,478.16 and 103,629.20

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Solution

The fourth proportional to 340,267.84, 510,478.16 and 103,629.20 is: 155,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,267.84 : 510,478.16 = 103,629.20 : x
  2. Step 2: Convert to fraction form
    340,267.84/510,478.16 = 103,629.20/x
  3. Step 3: Cross multiply
    340,267.84x = 510,478.16 × 103,629.20
  4. Step 4: Simplify right side
    340,267.84x = 52,900,443,338.27
  5. Step 5: Solve for x
    x = 52,900,443,338.27/340,267.84
  6. Step 6: Final answer
    x = 155,467.07

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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.