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Finding the Fourth Proportional to 340,476, 510,811.44 and 115,885.92

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Solution

The fourth proportional to 340,476, 510,811.44 and 115,885.92 is: 173,862.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,476 : 510,811.44 = 115,885.92 : x
  2. Step 2: Convert to fraction form
    340,476/510,811.44 = 115,885.92/x
  3. Step 3: Cross multiply
    340,476x = 510,811.44 × 115,885.92
  4. Step 4: Simplify right side
    340,476x = 59,195,853,670.92
  5. Step 5: Solve for x
    x = 59,195,853,670.92/340,476
  6. Step 6: Final answer
    x = 173,862.05

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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.