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Finding the Fourth Proportional to 464,990.61, 697,511.89 and 145,186.64

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Solution

The fourth proportional to 464,990.61, 697,511.89 and 145,186.64 is: 217,788.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,990.61 : 697,511.89 = 145,186.64 : x
  2. Step 2: Convert to fraction form
    464,990.61/697,511.89 = 145,186.64/x
  3. Step 3: Cross multiply
    464,990.61x = 697,511.89 × 145,186.64
  4. Step 4: Simplify right side
    464,990.61x = 101,269,408,940.50
  5. Step 5: Solve for x
    x = 101,269,408,940.50/464,990.61
  6. Step 6: Final answer
    x = 217,788.08

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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.