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Finding the Fourth Proportional to 298,648.30, 447,985.41 and 138,874.18

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Solution

The fourth proportional to 298,648.30, 447,985.41 and 138,874.18 is: 208,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,648.30 : 447,985.41 = 138,874.18 : x
  2. Step 2: Convert to fraction form
    298,648.30/447,985.41 = 138,874.18/x
  3. Step 3: Cross multiply
    298,648.30x = 447,985.41 × 138,874.18
  4. Step 4: Simplify right side
    298,648.30x = 62,213,606,465.71
  5. Step 5: Solve for x
    x = 62,213,606,465.71/298,648.30
  6. Step 6: Final answer
    x = 208,317.30

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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.