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Finding the Fourth Proportional to 390,305, 585,458.94 and 94,817

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Solution

The fourth proportional to 390,305, 585,458.94 and 94,817 is: 142,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,305 : 585,458.94 = 94,817 : x
  2. Step 2: Convert to fraction form
    390,305/585,458.94 = 94,817/x
  3. Step 3: Cross multiply
    390,305x = 585,458.94 × 94,817
  4. Step 4: Simplify right side
    390,305x = 55,511,460,313.98
  5. Step 5: Solve for x
    x = 55,511,460,313.98/390,305
  6. Step 6: Final answer
    x = 142,225.85

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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.