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Finding the Fourth Proportional to 923,994, 1,386,543.96 and 398,682

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Solution

The fourth proportional to 923,994, 1,386,543.96 and 398,682 is: 598,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,994 : 1,386,543.96 = 398,682 : x
  2. Step 2: Convert to fraction form
    923,994/1,386,543.96 = 398,682/x
  3. Step 3: Cross multiply
    923,994x = 1,386,543.96 × 398,682
  4. Step 4: Simplify right side
    923,994x = 552,790,119,060.72
  5. Step 5: Solve for x
    x = 552,790,119,060.72/923,994
  6. Step 6: Final answer
    x = 598,261.59

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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.