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Finding the Fourth Proportional to 340,294, 510,402.08 and 90,995.44

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Solution

The fourth proportional to 340,294, 510,402.08 and 90,995.44 is: 136,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,294 : 510,402.08 = 90,995.44 : x
  2. Step 2: Convert to fraction form
    340,294/510,402.08 = 90,995.44/x
  3. Step 3: Cross multiply
    340,294x = 510,402.08 × 90,995.44
  4. Step 4: Simplify right side
    340,294x = 46,444,261,846.52
  5. Step 5: Solve for x
    x = 46,444,261,846.52/340,294
  6. Step 6: Final answer
    x = 136,482.75

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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.