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Finding the Fourth Proportional to 782,218, 1,079,460.84 and 424,522

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Solution

The fourth proportional to 782,218, 1,079,460.84 and 424,522 is: 585,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,218 : 1,079,460.84 = 424,522 : x
  2. Step 2: Convert to fraction form
    782,218/1,079,460.84 = 424,522/x
  3. Step 3: Cross multiply
    782,218x = 1,079,460.84 × 424,522
  4. Step 4: Simplify right side
    782,218x = 458,254,874,718.48
  5. Step 5: Solve for x
    x = 458,254,874,718.48/782,218
  6. Step 6: Final answer
    x = 585,840.36

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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.