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Finding the Fourth Proportional to 291,078,438.80, 436,617,658.20 and 279,599,313.20

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Solution

The fourth proportional to 291,078,438.80, 436,617,658.20 and 279,599,313.20 is: 419,398,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,078,438.80 : 436,617,658.20 = 279,599,313.20 : x
  2. Step 2: Convert to fraction form
    291,078,438.80/436,617,658.20 = 279,599,313.20/x
  3. Step 3: Cross multiply
    291,078,438.80x = 436,617,658.20 × 279,599,313.20
  4. Step 4: Simplify right side
    291,078,438.80x = 122,077,997,363,712,336
  5. Step 5: Solve for x
    x = 122,077,997,363,712,336/291,078,438.80
  6. Step 6: Final answer
    x = 419,398,969.80

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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.