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Finding the Fourth Proportional to 922,986, 1,384,625.36 and 390,511

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Solution

The fourth proportional to 922,986, 1,384,625.36 and 390,511 is: 585,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,986 : 1,384,625.36 = 390,511 : x
  2. Step 2: Convert to fraction form
    922,986/1,384,625.36 = 390,511/x
  3. Step 3: Cross multiply
    922,986x = 1,384,625.36 × 390,511
  4. Step 4: Simplify right side
    922,986x = 540,711,433,958.96
  5. Step 5: Solve for x
    x = 540,711,433,958.96/922,986
  6. Step 6: Final answer
    x = 585,828.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.