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Finding the Fourth Proportional to 212,954,417.10, 319,431,625.65 and 212,954,417.10

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Solution

The fourth proportional to 212,954,417.10, 319,431,625.65 and 212,954,417.10 is: 319,431,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,954,417.10 : 319,431,625.65 = 212,954,417.10 : x
  2. Step 2: Convert to fraction form
    212,954,417.10/319,431,625.65 = 212,954,417.10/x
  3. Step 3: Cross multiply
    212,954,417.10x = 319,431,625.65 × 212,954,417.10
  4. Step 4: Simplify right side
    212,954,417.10x = 68,024,375,643,601,152
  5. Step 5: Solve for x
    x = 68,024,375,643,601,152/212,954,417.10
  6. Step 6: Final answer
    x = 319,431,625.65

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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.