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Finding the Fourth Proportional to 390,774, 586,185.84 and 110,313.12

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Solution

The fourth proportional to 390,774, 586,185.84 and 110,313.12 is: 165,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,774 : 586,185.84 = 110,313.12 : x
  2. Step 2: Convert to fraction form
    390,774/586,185.84 = 110,313.12/x
  3. Step 3: Cross multiply
    390,774x = 586,185.84 × 110,313.12
  4. Step 4: Simplify right side
    390,774x = 64,663,988,910.22
  5. Step 5: Solve for x
    x = 64,663,988,910.22/390,774
  6. Step 6: Final answer
    x = 165,476.69

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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.