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Finding the Fourth Proportional to 515,874.42, 774,336.51 and 346,863.06

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Solution

The fourth proportional to 515,874.42, 774,336.51 and 346,863.06 is: 520,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,874.42 : 774,336.51 = 346,863.06 : x
  2. Step 2: Convert to fraction form
    515,874.42/774,336.51 = 346,863.06/x
  3. Step 3: Cross multiply
    515,874.42x = 774,336.51 × 346,863.06
  4. Step 4: Simplify right side
    515,874.42x = 268,588,731,328.32
  5. Step 5: Solve for x
    x = 268,588,731,328.32/515,874.42
  6. Step 6: Final answer
    x = 520,647.51

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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.