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Finding the Fourth Proportional to 390,783, 539,280.60 and 221,013.48

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Solution

The fourth proportional to 390,783, 539,280.60 and 221,013.48 is: 304,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,783 : 539,280.60 = 221,013.48 : x
  2. Step 2: Convert to fraction form
    390,783/539,280.60 = 221,013.48/x
  3. Step 3: Cross multiply
    390,783x = 539,280.60 × 221,013.48
  4. Step 4: Simplify right side
    390,783x = 119,188,282,102.49
  5. Step 5: Solve for x
    x = 119,188,282,102.49/390,783
  6. Step 6: Final answer
    x = 304,998.64

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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.