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Finding the Fourth Proportional to 779,594, 1,075,842.60 and 421,898

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Solution

The fourth proportional to 779,594, 1,075,842.60 and 421,898 is: 582,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,594 : 1,075,842.60 = 421,898 : x
  2. Step 2: Convert to fraction form
    779,594/1,075,842.60 = 421,898/x
  3. Step 3: Cross multiply
    779,594x = 1,075,842.60 × 421,898
  4. Step 4: Simplify right side
    779,594x = 453,895,841,254.80
  5. Step 5: Solve for x
    x = 453,895,841,254.80/779,594
  6. Step 6: Final answer
    x = 582,220.80

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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.