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Finding the Fourth Proportional to 390,834, 539,351.10 and 221,064.48

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Solution

The fourth proportional to 390,834, 539,351.10 and 221,064.48 is: 305,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,834 : 539,351.10 = 221,064.48 : x
  2. Step 2: Convert to fraction form
    390,834/539,351.10 = 221,064.48/x
  3. Step 3: Cross multiply
    390,834x = 539,351.10 × 221,064.48
  4. Step 4: Simplify right side
    390,834x = 119,231,370,458.93
  5. Step 5: Solve for x
    x = 119,231,370,458.93/390,834
  6. Step 6: Final answer
    x = 305,069.08

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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.