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Finding the Fourth Proportional to 779,600, 1,075,848 and 421,904

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Solution

The fourth proportional to 779,600, 1,075,848 and 421,904 is: 582,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,600 : 1,075,848 = 421,904 : x
  2. Step 2: Convert to fraction form
    779,600/1,075,848 = 421,904/x
  3. Step 3: Cross multiply
    779,600x = 1,075,848 × 421,904
  4. Step 4: Simplify right side
    779,600x = 453,904,574,592
  5. Step 5: Solve for x
    x = 453,904,574,592/779,600
  6. Step 6: Final answer
    x = 582,227.52

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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.