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Finding the Fourth Proportional to 312,297.36, 431,218.80 and 288,415.32

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Solution

The fourth proportional to 312,297.36, 431,218.80 and 288,415.32 is: 398,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,297.36 : 431,218.80 = 288,415.32 : x
  2. Step 2: Convert to fraction form
    312,297.36/431,218.80 = 288,415.32/x
  3. Step 3: Cross multiply
    312,297.36x = 431,218.80 × 288,415.32
  4. Step 4: Simplify right side
    312,297.36x = 124,370,108,192.02
  5. Step 5: Solve for x
    x = 124,370,108,192.02/312,297.36
  6. Step 6: Final answer
    x = 398,242.59

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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.