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Finding the Fourth Proportional to 870,181, 1,305,271.50 and 309,237.64

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Solution

The fourth proportional to 870,181, 1,305,271.50 and 309,237.64 is: 463,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,181 : 1,305,271.50 = 309,237.64 : x
  2. Step 2: Convert to fraction form
    870,181/1,305,271.50 = 309,237.64/x
  3. Step 3: Cross multiply
    870,181x = 1,305,271.50 × 309,237.64
  4. Step 4: Simplify right side
    870,181x = 403,639,078,219.26
  5. Step 5: Solve for x
    x = 403,639,078,219.26/870,181
  6. Step 6: Final answer
    x = 463,856.46

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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.