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Finding the Fourth Proportional to 340,298, 510,408.08 and 90,999.44

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Solution

The fourth proportional to 340,298, 510,408.08 and 90,999.44 is: 136,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,298 : 510,408.08 = 90,999.44 : x
  2. Step 2: Convert to fraction form
    340,298/510,408.08 = 90,999.44/x
  3. Step 3: Cross multiply
    340,298x = 510,408.08 × 90,999.44
  4. Step 4: Simplify right side
    340,298x = 46,446,849,451.48
  5. Step 5: Solve for x
    x = 46,446,849,451.48/340,298
  6. Step 6: Final answer
    x = 136,488.75

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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.