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Finding the Fourth Proportional to 778,886, 1,074,862.74 and 421,190

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Solution

The fourth proportional to 778,886, 1,074,862.74 and 421,190 is: 581,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,886 : 1,074,862.74 = 421,190 : x
  2. Step 2: Convert to fraction form
    778,886/1,074,862.74 = 421,190/x
  3. Step 3: Cross multiply
    778,886x = 1,074,862.74 × 421,190
  4. Step 4: Simplify right side
    778,886x = 452,721,437,460.60
  5. Step 5: Solve for x
    x = 452,721,437,460.60/778,886
  6. Step 6: Final answer
    x = 581,242.23

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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.