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Finding the Fourth Proportional to 320,386,643.20, 449,561,667.20 and 320,386,643.20

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Solution

The fourth proportional to 320,386,643.20, 449,561,667.20 and 320,386,643.20 is: 449,561,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,386,643.20 : 449,561,667.20 = 320,386,643.20 : x
  2. Step 2: Convert to fraction form
    320,386,643.20/449,561,667.20 = 320,386,643.20/x
  3. Step 3: Cross multiply
    320,386,643.20x = 449,561,667.20 × 320,386,643.20
  4. Step 4: Simplify right side
    320,386,643.20x = 144,033,553,465,603,536
  5. Step 5: Solve for x
    x = 144,033,553,465,603,536/320,386,643.20
  6. Step 6: Final answer
    x = 449,561,667.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.