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Finding the Fourth Proportional to 779,613, 1,075,865.94 and 421,917

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Solution

The fourth proportional to 779,613, 1,075,865.94 and 421,917 is: 582,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,613 : 1,075,865.94 = 421,917 : x
  2. Step 2: Convert to fraction form
    779,613/1,075,865.94 = 421,917/x
  3. Step 3: Cross multiply
    779,613x = 1,075,865.94 × 421,917
  4. Step 4: Simplify right side
    779,613x = 453,926,129,806.98
  5. Step 5: Solve for x
    x = 453,926,129,806.98/779,613
  6. Step 6: Final answer
    x = 582,245.46

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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.