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Finding the Fourth Proportional to 909,796, 1,364,694 and 318,820

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Solution

The fourth proportional to 909,796, 1,364,694 and 318,820 is: 478,230

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,796 : 1,364,694 = 318,820 : x
  2. Step 2: Convert to fraction form
    909,796/1,364,694 = 318,820/x
  3. Step 3: Cross multiply
    909,796x = 1,364,694 × 318,820
  4. Step 4: Simplify right side
    909,796x = 435,091,741,080
  5. Step 5: Solve for x
    x = 435,091,741,080/909,796
  6. Step 6: Final answer
    x = 478,230

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.