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Finding the Fourth Proportional to 538,331.20, 808,371.60 and 389,615.20

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Solution

The fourth proportional to 538,331.20, 808,371.60 and 389,615.20 is: 585,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,331.20 : 808,371.60 = 389,615.20 : x
  2. Step 2: Convert to fraction form
    538,331.20/808,371.60 = 389,615.20/x
  3. Step 3: Cross multiply
    538,331.20x = 808,371.60 × 389,615.20
  4. Step 4: Simplify right side
    538,331.20x = 314,953,862,608.32
  5. Step 5: Solve for x
    x = 314,953,862,608.32/538,331.20
  6. Step 6: Final answer
    x = 585,055.93

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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.