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Finding the Fourth Proportional to 779,605, 1,075,854.98 and 421,909

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Solution

The fourth proportional to 779,605, 1,075,854.98 and 421,909 is: 582,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,605 : 1,075,854.98 = 421,909 : x
  2. Step 2: Convert to fraction form
    779,605/1,075,854.98 = 421,909/x
  3. Step 3: Cross multiply
    779,605x = 1,075,854.98 × 421,909
  4. Step 4: Simplify right side
    779,605x = 453,912,898,756.82
  5. Step 5: Solve for x
    x = 453,912,898,756.82/779,605
  6. Step 6: Final answer
    x = 582,234.46

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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.