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Finding the Fourth Proportional to 434,699.78, 651,974.94 and 114,855.08

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Solution

The fourth proportional to 434,699.78, 651,974.94 and 114,855.08 is: 172,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,699.78 : 651,974.94 = 114,855.08 : x
  2. Step 2: Convert to fraction form
    434,699.78/651,974.94 = 114,855.08/x
  3. Step 3: Cross multiply
    434,699.78x = 651,974.94 × 114,855.08
  4. Step 4: Simplify right side
    434,699.78x = 74,882,630,631.82
  5. Step 5: Solve for x
    x = 74,882,630,631.82/434,699.78
  6. Step 6: Final answer
    x = 172,262.87

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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.