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Finding the Fourth Proportional to 346,969, 478,817.22 and 187,993

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Solution

The fourth proportional to 346,969, 478,817.22 and 187,993 is: 259,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,969 : 478,817.22 = 187,993 : x
  2. Step 2: Convert to fraction form
    346,969/478,817.22 = 187,993/x
  3. Step 3: Cross multiply
    346,969x = 478,817.22 × 187,993
  4. Step 4: Simplify right side
    346,969x = 90,014,285,639.46
  5. Step 5: Solve for x
    x = 90,014,285,639.46/346,969
  6. Step 6: Final answer
    x = 259,430.34

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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.