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Finding the Fourth Proportional to 678,408.56, 936,204.53 and 402,821.43

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Solution

The fourth proportional to 678,408.56, 936,204.53 and 402,821.43 is: 555,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,408.56 : 936,204.53 = 402,821.43 : x
  2. Step 2: Convert to fraction form
    678,408.56/936,204.53 = 402,821.43/x
  3. Step 3: Cross multiply
    678,408.56x = 936,204.53 × 402,821.43
  4. Step 4: Simplify right side
    678,408.56x = 377,123,247,547.08
  5. Step 5: Solve for x
    x = 377,123,247,547.08/678,408.56
  6. Step 6: Final answer
    x = 555,894.00

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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.