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Finding the Fourth Proportional to 286,770,846.80, 429,360,007.80 and 278,808,222.80

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Solution

The fourth proportional to 286,770,846.80, 429,360,007.80 and 278,808,222.80 is: 417,438,181.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,770,846.80 : 429,360,007.80 = 278,808,222.80 : x
  2. Step 2: Convert to fraction form
    286,770,846.80/429,360,007.80 = 278,808,222.80/x
  3. Step 3: Cross multiply
    286,770,846.80x = 429,360,007.80 × 278,808,222.80
  4. Step 4: Simplify right side
    286,770,846.80x = 119,709,100,716,112,144
  5. Step 5: Solve for x
    x = 119,709,100,716,112,144/286,770,846.80
  6. Step 6: Final answer
    x = 417,438,181.22

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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.