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Finding the Fourth Proportional to 687,599.98, 948,840.45 and 381,652.31

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Solution

The fourth proportional to 687,599.98, 948,840.45 and 381,652.31 is: 526,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,599.98 : 948,840.45 = 381,652.31 : x
  2. Step 2: Convert to fraction form
    687,599.98/948,840.45 = 381,652.31/x
  3. Step 3: Cross multiply
    687,599.98x = 948,840.45 × 381,652.31
  4. Step 4: Simplify right side
    687,599.98x = 362,127,149,563.94
  5. Step 5: Solve for x
    x = 362,127,149,563.94/687,599.98
  6. Step 6: Final answer
    x = 526,653.81

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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.