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Finding the Fourth Proportional to 340,289, 510,394.59 and 90,990.44

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Solution

The fourth proportional to 340,289, 510,394.59 and 90,990.44 is: 136,475.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,289 : 510,394.59 = 90,990.44 : x
  2. Step 2: Convert to fraction form
    340,289/510,394.59 = 90,990.44/x
  3. Step 3: Cross multiply
    340,289x = 510,394.59 × 90,990.44
  4. Step 4: Simplify right side
    340,289x = 46,441,028,317.72
  5. Step 5: Solve for x
    x = 46,441,028,317.72/340,289
  6. Step 6: Final answer
    x = 136,475.26

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1.5x scale

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.