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Finding the Fourth Proportional to 610,376.41, 842,329.53 and 338,455.77

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Solution

The fourth proportional to 610,376.41, 842,329.53 and 338,455.77 is: 467,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,376.41 : 842,329.53 = 338,455.77 : x
  2. Step 2: Convert to fraction form
    610,376.41/842,329.53 = 338,455.77/x
  3. Step 3: Cross multiply
    610,376.41x = 842,329.53 × 338,455.77
  4. Step 4: Simplify right side
    610,376.41x = 285,091,286,511.15
  5. Step 5: Solve for x
    x = 285,091,286,511.15/610,376.41
  6. Step 6: Final answer
    x = 467,074.55

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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.