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Finding the Fourth Proportional to 360,420.36, 497,360.01 and 199,266

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Solution

The fourth proportional to 360,420.36, 497,360.01 and 199,266 is: 274,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,420.36 : 497,360.01 = 199,266 : x
  2. Step 2: Convert to fraction form
    360,420.36/497,360.01 = 199,266/x
  3. Step 3: Cross multiply
    360,420.36x = 497,360.01 × 199,266
  4. Step 4: Simplify right side
    360,420.36x = 99,106,939,752.66
  5. Step 5: Solve for x
    x = 99,106,939,752.66/360,420.36
  6. Step 6: Final answer
    x = 274,975.97

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1.5x scale

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.