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Finding the Fourth Proportional to 312,181.80, 468,272.70 and 307,516.20

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Solution

The fourth proportional to 312,181.80, 468,272.70 and 307,516.20 is: 461,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,181.80 : 468,272.70 = 307,516.20 : x
  2. Step 2: Convert to fraction form
    312,181.80/468,272.70 = 307,516.20/x
  3. Step 3: Cross multiply
    312,181.80x = 468,272.70 × 307,516.20
  4. Step 4: Simplify right side
    312,181.80x = 144,001,441,267.74
  5. Step 5: Solve for x
    x = 144,001,441,267.74/312,181.80
  6. Step 6: Final answer
    x = 461,274.30

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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.