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Finding the Fourth Proportional to 587,088, 810,181.44 and 318,816

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Solution

The fourth proportional to 587,088, 810,181.44 and 318,816 is: 439,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,088 : 810,181.44 = 318,816 : x
  2. Step 2: Convert to fraction form
    587,088/810,181.44 = 318,816/x
  3. Step 3: Cross multiply
    587,088x = 810,181.44 × 318,816
  4. Step 4: Simplify right side
    587,088x = 258,298,805,975.04
  5. Step 5: Solve for x
    x = 258,298,805,975.04/587,088
  6. Step 6: Final answer
    x = 439,966.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.