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Finding the Fourth Proportional to 219,327.48, 302,672 and 123,840.33

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Solution

The fourth proportional to 219,327.48, 302,672 and 123,840.33 is: 170,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,327.48 : 302,672 = 123,840.33 : x
  2. Step 2: Convert to fraction form
    219,327.48/302,672 = 123,840.33/x
  3. Step 3: Cross multiply
    219,327.48x = 302,672 × 123,840.33
  4. Step 4: Simplify right side
    219,327.48x = 37,483,000,361.76
  5. Step 5: Solve for x
    x = 37,483,000,361.76/219,327.48
  6. Step 6: Final answer
    x = 170,899.70

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1.5x scale

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.