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Finding the Fourth Proportional to 614,900, 848,562 and 346,628

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Solution

The fourth proportional to 614,900, 848,562 and 346,628 is: 478,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,900 : 848,562 = 346,628 : x
  2. Step 2: Convert to fraction form
    614,900/848,562 = 346,628/x
  3. Step 3: Cross multiply
    614,900x = 848,562 × 346,628
  4. Step 4: Simplify right side
    614,900x = 294,135,348,936
  5. Step 5: Solve for x
    x = 294,135,348,936/614,900
  6. Step 6: Final answer
    x = 478,346.64

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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.