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Finding the Fourth Proportional to 349,498.60, 523,902.30 and 138,855.40

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Solution

The fourth proportional to 349,498.60, 523,902.30 and 138,855.40 is: 208,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,498.60 : 523,902.30 = 138,855.40 : x
  2. Step 2: Convert to fraction form
    349,498.60/523,902.30 = 138,855.40/x
  3. Step 3: Cross multiply
    349,498.60x = 523,902.30 × 138,855.40
  4. Step 4: Simplify right side
    349,498.60x = 72,746,663,427.42
  5. Step 5: Solve for x
    x = 72,746,663,427.42/349,498.60
  6. Step 6: Final answer
    x = 208,145.79

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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.