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Finding the Fourth Proportional to 586,668, 809,601.84 and 318,396

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Solution

The fourth proportional to 586,668, 809,601.84 and 318,396 is: 439,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,668 : 809,601.84 = 318,396 : x
  2. Step 2: Convert to fraction form
    586,668/809,601.84 = 318,396/x
  3. Step 3: Cross multiply
    586,668x = 809,601.84 × 318,396
  4. Step 4: Simplify right side
    586,668x = 257,773,987,448.64
  5. Step 5: Solve for x
    x = 257,773,987,448.64/586,668
  6. Step 6: Final answer
    x = 439,386.48

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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.