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Finding the Fourth Proportional to 512,134.25, 767,767.55 and 212,427.77

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Solution

The fourth proportional to 512,134.25, 767,767.55 and 212,427.77 is: 318,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,134.25 : 767,767.55 = 212,427.77 : x
  2. Step 2: Convert to fraction form
    512,134.25/767,767.55 = 212,427.77/x
  3. Step 3: Cross multiply
    512,134.25x = 767,767.55 × 212,427.77
  4. Step 4: Simplify right side
    512,134.25x = 163,095,143,623.89
  5. Step 5: Solve for x
    x = 163,095,143,623.89/512,134.25
  6. Step 6: Final answer
    x = 318,461.70

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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.