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Finding the Fourth Proportional to 390,303.95, 538,617.33 and 218,221.88

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Solution

The fourth proportional to 390,303.95, 538,617.33 and 218,221.88 is: 301,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,303.95 : 538,617.33 = 218,221.88 : x
  2. Step 2: Convert to fraction form
    390,303.95/538,617.33 = 218,221.88/x
  3. Step 3: Cross multiply
    390,303.95x = 538,617.33 × 218,221.88
  4. Step 4: Simplify right side
    390,303.95x = 117,538,083,660.09
  5. Step 5: Solve for x
    x = 117,538,083,660.09/390,303.95
  6. Step 6: Final answer
    x = 301,145.01

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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.