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Finding the Fourth Proportional to 340,038.40, 510,086.10 and 103,383.13

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Solution

The fourth proportional to 340,038.40, 510,086.10 and 103,383.13 is: 155,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,038.40 : 510,086.10 = 103,383.13 : x
  2. Step 2: Convert to fraction form
    340,038.40/510,086.10 = 103,383.13/x
  3. Step 3: Cross multiply
    340,038.40x = 510,086.10 × 103,383.13
  4. Step 4: Simplify right side
    340,038.40x = 52,734,297,587.49
  5. Step 5: Solve for x
    x = 52,734,297,587.49/340,038.40
  6. Step 6: Final answer
    x = 155,083.36

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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.