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Finding the Fourth Proportional to 456,117.50, 684,198.93 and 323,147.90

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Solution

The fourth proportional to 456,117.50, 684,198.93 and 323,147.90 is: 484,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,117.50 : 684,198.93 = 323,147.90 : x
  2. Step 2: Convert to fraction form
    456,117.50/684,198.93 = 323,147.90/x
  3. Step 3: Cross multiply
    456,117.50x = 684,198.93 × 323,147.90
  4. Step 4: Simplify right side
    456,117.50x = 221,097,447,411.75
  5. Step 5: Solve for x
    x = 221,097,447,411.75/456,117.50
  6. Step 6: Final answer
    x = 484,737.92

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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.