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Finding the Fourth Proportional to 646,161.30, 891,978.30 and 460,012.77

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Solution

The fourth proportional to 646,161.30, 891,978.30 and 460,012.77 is: 635,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,161.30 : 891,978.30 = 460,012.77 : x
  2. Step 2: Convert to fraction form
    646,161.30/891,978.30 = 460,012.77/x
  3. Step 3: Cross multiply
    646,161.30x = 891,978.30 × 460,012.77
  4. Step 4: Simplify right side
    646,161.30x = 410,321,408,562.89
  5. Step 5: Solve for x
    x = 410,321,408,562.89/646,161.30
  6. Step 6: Final answer
    x = 635,013.90

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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.