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Finding the Fourth Proportional to 779,577, 1,075,816.80 and 421,881

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Solution

The fourth proportional to 779,577, 1,075,816.80 and 421,881 is: 582,196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,577 : 1,075,816.80 = 421,881 : x
  2. Step 2: Convert to fraction form
    779,577/1,075,816.80 = 421,881/x
  3. Step 3: Cross multiply
    779,577x = 1,075,816.80 × 421,881
  4. Step 4: Simplify right side
    779,577x = 453,866,667,400.80
  5. Step 5: Solve for x
    x = 453,866,667,400.80/779,577
  6. Step 6: Final answer
    x = 582,196.07

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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.