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Finding the Fourth Proportional to 614,784, 848,408.40 and 346,512

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Solution

The fourth proportional to 614,784, 848,408.40 and 346,512 is: 478,190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,784 : 848,408.40 = 346,512 : x
  2. Step 2: Convert to fraction form
    614,784/848,408.40 = 346,512/x
  3. Step 3: Cross multiply
    614,784x = 848,408.40 × 346,512
  4. Step 4: Simplify right side
    614,784x = 293,983,691,500.80
  5. Step 5: Solve for x
    x = 293,983,691,500.80/614,784
  6. Step 6: Final answer
    x = 478,190.21

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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.