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Finding the Fourth Proportional to 512,647.08, 702,314.83 and 493,479.78

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Solution

The fourth proportional to 512,647.08, 702,314.83 and 493,479.78 is: 676,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,647.08 : 702,314.83 = 493,479.78 : x
  2. Step 2: Convert to fraction form
    512,647.08/702,314.83 = 493,479.78/x
  3. Step 3: Cross multiply
    512,647.08x = 702,314.83 × 493,479.78
  4. Step 4: Simplify right side
    512,647.08x = 346,578,161,820.16
  5. Step 5: Solve for x
    x = 346,578,161,820.16/512,647.08
  6. Step 6: Final answer
    x = 676,056.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.