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Finding the Fourth Proportional to 390,775.50, 539,270.19 and 221,005.98

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Solution

The fourth proportional to 390,775.50, 539,270.19 and 221,005.98 is: 304,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,775.50 : 539,270.19 = 221,005.98 : x
  2. Step 2: Convert to fraction form
    390,775.50/539,270.19 = 221,005.98/x
  3. Step 3: Cross multiply
    390,775.50x = 539,270.19 × 221,005.98
  4. Step 4: Simplify right side
    390,775.50x = 119,181,936,825.74
  5. Step 5: Solve for x
    x = 119,181,936,825.74/390,775.50
  6. Step 6: Final answer
    x = 304,988.25

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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.