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Finding the Fourth Proportional to 676,485.84, 933,557.32 and 408,162

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Solution

The fourth proportional to 676,485.84, 933,557.32 and 408,162 is: 563,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,485.84 : 933,557.32 = 408,162 : x
  2. Step 2: Convert to fraction form
    676,485.84/933,557.32 = 408,162/x
  3. Step 3: Cross multiply
    676,485.84x = 933,557.32 × 408,162
  4. Step 4: Simplify right side
    676,485.84x = 381,042,622,845.84
  5. Step 5: Solve for x
    x = 381,042,622,845.84/676,485.84
  6. Step 6: Final answer
    x = 563,267.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.