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Finding the Fourth Proportional to 390,783.96, 539,383.25 and 221,116.50

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Solution

The fourth proportional to 390,783.96, 539,383.25 and 221,116.50 is: 305,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,783.96 : 539,383.25 = 221,116.50 : x
  2. Step 2: Convert to fraction form
    390,783.96/539,383.25 = 221,116.50/x
  3. Step 3: Cross multiply
    390,783.96x = 539,383.25 × 221,116.50
  4. Step 4: Simplify right side
    390,783.96x = 119,266,536,398.63
  5. Step 5: Solve for x
    x = 119,266,536,398.63/390,783.96
  6. Step 6: Final answer
    x = 305,198.14

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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.