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Finding the Fourth Proportional to 442,820.09, 611,074.13 and 261,590.22

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Solution

The fourth proportional to 442,820.09, 611,074.13 and 261,590.22 is: 360,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,820.09 : 611,074.13 = 261,590.22 : x
  2. Step 2: Convert to fraction form
    442,820.09/611,074.13 = 261,590.22/x
  3. Step 3: Cross multiply
    442,820.09x = 611,074.13 × 261,590.22
  4. Step 4: Simplify right side
    442,820.09x = 159,851,014,795.06
  5. Step 5: Solve for x
    x = 159,851,014,795.06/442,820.09
  6. Step 6: Final answer
    x = 360,984.11

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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.