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Finding the Fourth Proportional to 587,178, 810,305.64 and 318,906

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Solution

The fourth proportional to 587,178, 810,305.64 and 318,906 is: 440,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,178 : 810,305.64 = 318,906 : x
  2. Step 2: Convert to fraction form
    587,178/810,305.64 = 318,906/x
  3. Step 3: Cross multiply
    587,178x = 810,305.64 × 318,906
  4. Step 4: Simplify right side
    587,178x = 258,411,330,429.84
  5. Step 5: Solve for x
    x = 258,411,330,429.84/587,178
  6. Step 6: Final answer
    x = 440,090.28

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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.