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Finding the Fourth Proportional to 678,894, 1,018,341 and 235,662

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Solution

The fourth proportional to 678,894, 1,018,341 and 235,662 is: 353,493

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,894 : 1,018,341 = 235,662 : x
  2. Step 2: Convert to fraction form
    678,894/1,018,341 = 235,662/x
  3. Step 3: Cross multiply
    678,894x = 1,018,341 × 235,662
  4. Step 4: Simplify right side
    678,894x = 239,984,276,742
  5. Step 5: Solve for x
    x = 239,984,276,742/678,894
  6. Step 6: Final answer
    x = 353,493

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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.