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Finding the Fourth Proportional to 864,808.62, 1,297,450.74 and 415,905

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Solution

The fourth proportional to 864,808.62, 1,297,450.74 and 415,905 is: 623,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,808.62 : 1,297,450.74 = 415,905 : x
  2. Step 2: Convert to fraction form
    864,808.62/1,297,450.74 = 415,905/x
  3. Step 3: Cross multiply
    864,808.62x = 1,297,450.74 × 415,905
  4. Step 4: Simplify right side
    864,808.62x = 539,616,250,019.70
  5. Step 5: Solve for x
    x = 539,616,250,019.70/864,808.62
  6. Step 6: Final answer
    x = 623,971.87

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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.