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Finding the Fourth Proportional to 538,908.40, 808,362.60 and 184,322.80

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Solution

The fourth proportional to 538,908.40, 808,362.60 and 184,322.80 is: 276,484.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,908.40 : 808,362.60 = 184,322.80 : x
  2. Step 2: Convert to fraction form
    538,908.40/808,362.60 = 184,322.80/x
  3. Step 3: Cross multiply
    538,908.40x = 808,362.60 × 184,322.80
  4. Step 4: Simplify right side
    538,908.40x = 148,999,657,847.28
  5. Step 5: Solve for x
    x = 148,999,657,847.28/538,908.40
  6. Step 6: Final answer
    x = 276,484.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.