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Finding the Fourth Proportional to 614,914, 848,581.34 and 346,642

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Solution

The fourth proportional to 614,914, 848,581.34 and 346,642 is: 478,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,914 : 848,581.34 = 346,642 : x
  2. Step 2: Convert to fraction form
    614,914/848,581.34 = 346,642/x
  3. Step 3: Cross multiply
    614,914x = 848,581.34 × 346,642
  4. Step 4: Simplify right side
    614,914x = 294,153,932,860.28
  5. Step 5: Solve for x
    x = 294,153,932,860.28/614,914
  6. Step 6: Final answer
    x = 478,365.97

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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.