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Finding the Fourth Proportional to 559,668.17, 772,344.63 and 317,964

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Solution

The fourth proportional to 559,668.17, 772,344.63 and 317,964 is: 438,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,668.17 : 772,344.63 = 317,964 : x
  2. Step 2: Convert to fraction form
    559,668.17/772,344.63 = 317,964/x
  3. Step 3: Cross multiply
    559,668.17x = 772,344.63 × 317,964
  4. Step 4: Simplify right side
    559,668.17x = 245,577,787,933.32
  5. Step 5: Solve for x
    x = 245,577,787,933.32/559,668.17
  6. Step 6: Final answer
    x = 438,791.78

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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.