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Finding the Fourth Proportional to 390,829.50, 539,344.89 and 221,059.98

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Solution

The fourth proportional to 390,829.50, 539,344.89 and 221,059.98 is: 305,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,829.50 : 539,344.89 = 221,059.98 : x
  2. Step 2: Convert to fraction form
    390,829.50/539,344.89 = 221,059.98/x
  3. Step 3: Cross multiply
    390,829.50x = 539,344.89 × 221,059.98
  4. Step 4: Simplify right side
    390,829.50x = 119,227,570,596.50
  5. Step 5: Solve for x
    x = 119,227,570,596.50/390,829.50
  6. Step 6: Final answer
    x = 305,062.87

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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.