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Finding the Fourth Proportional to 386,600.32, 533,540.64 and 214,534.48

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Solution

The fourth proportional to 386,600.32, 533,540.64 and 214,534.48 is: 296,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,600.32 : 533,540.64 = 214,534.48 : x
  2. Step 2: Convert to fraction form
    386,600.32/533,540.64 = 214,534.48/x
  3. Step 3: Cross multiply
    386,600.32x = 533,540.64 × 214,534.48
  4. Step 4: Simplify right side
    386,600.32x = 114,462,863,761.27
  5. Step 5: Solve for x
    x = 114,462,863,761.27/386,600.32
  6. Step 6: Final answer
    x = 296,075.45

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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.