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Finding the Fourth Proportional to 456,095.70, 684,337.95 and 287,745.30

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Solution

The fourth proportional to 456,095.70, 684,337.95 and 287,745.30 is: 431,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,095.70 : 684,337.95 = 287,745.30 : x
  2. Step 2: Convert to fraction form
    456,095.70/684,337.95 = 287,745.30/x
  3. Step 3: Cross multiply
    456,095.70x = 684,337.95 × 287,745.30
  4. Step 4: Simplify right side
    456,095.70x = 196,915,028,724.14
  5. Step 5: Solve for x
    x = 196,915,028,724.14/456,095.70
  6. Step 6: Final answer
    x = 431,740.59

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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.