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Finding the Fourth Proportional to 580,215.40, 870,462.30 and 243,069.16

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Solution

The fourth proportional to 580,215.40, 870,462.30 and 243,069.16 is: 364,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,215.40 : 870,462.30 = 243,069.16 : x
  2. Step 2: Convert to fraction form
    580,215.40/870,462.30 = 243,069.16/x
  3. Step 3: Cross multiply
    580,215.40x = 870,462.30 × 243,069.16
  4. Step 4: Simplify right side
    580,215.40x = 211,582,540,072.67
  5. Step 5: Solve for x
    x = 211,582,540,072.67/580,215.40
  6. Step 6: Final answer
    x = 364,662.05

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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.