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Finding the Fourth Proportional to 704,704.80, 972,266.40 and 394,561.76

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Solution

The fourth proportional to 704,704.80, 972,266.40 and 394,561.76 is: 544,368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,704.80 : 972,266.40 = 394,561.76 : x
  2. Step 2: Convert to fraction form
    704,704.80/972,266.40 = 394,561.76/x
  3. Step 3: Cross multiply
    704,704.80x = 972,266.40 × 394,561.76
  4. Step 4: Simplify right side
    704,704.80x = 383,619,141,972.86
  5. Step 5: Solve for x
    x = 383,619,141,972.86/704,704.80
  6. Step 6: Final answer
    x = 544,368.57

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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.