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Finding the Fourth Proportional to 779,574, 1,075,812.66 and 421,878

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Solution

The fourth proportional to 779,574, 1,075,812.66 and 421,878 is: 582,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,574 : 1,075,812.66 = 421,878 : x
  2. Step 2: Convert to fraction form
    779,574/1,075,812.66 = 421,878/x
  3. Step 3: Cross multiply
    779,574x = 1,075,812.66 × 421,878
  4. Step 4: Simplify right side
    779,574x = 453,861,693,375.48
  5. Step 5: Solve for x
    x = 453,861,693,375.48/779,574
  6. Step 6: Final answer
    x = 582,191.93

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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.