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Finding the Fourth Proportional to 395,634, 545,974.92 and 216,782.16

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Solution

The fourth proportional to 395,634, 545,974.92 and 216,782.16 is: 299,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,634 : 545,974.92 = 216,782.16 : x
  2. Step 2: Convert to fraction form
    395,634/545,974.92 = 216,782.16/x
  3. Step 3: Cross multiply
    395,634x = 545,974.92 × 216,782.16
  4. Step 4: Simplify right side
    395,634x = 118,357,622,463.43
  5. Step 5: Solve for x
    x = 118,357,622,463.43/395,634
  6. Step 6: Final answer
    x = 299,159.38

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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.