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Finding the Fourth Proportional to 587,218, 810,361.65 and 318,946

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Solution

The fourth proportional to 587,218, 810,361.65 and 318,946 is: 440,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,218 : 810,361.65 = 318,946 : x
  2. Step 2: Convert to fraction form
    587,218/810,361.65 = 318,946/x
  3. Step 3: Cross multiply
    587,218x = 810,361.65 × 318,946
  4. Step 4: Simplify right side
    587,218x = 258,461,606,820.90
  5. Step 5: Solve for x
    x = 258,461,606,820.90/587,218
  6. Step 6: Final answer
    x = 440,145.92

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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.