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Finding the Fourth Proportional to 286,712.16, 395,628.21 and 157,629.30

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Solution

The fourth proportional to 286,712.16, 395,628.21 and 157,629.30 is: 217,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,712.16 : 395,628.21 = 157,629.30 : x
  2. Step 2: Convert to fraction form
    286,712.16/395,628.21 = 157,629.30/x
  3. Step 3: Cross multiply
    286,712.16x = 395,628.21 × 157,629.30
  4. Step 4: Simplify right side
    286,712.16x = 62,362,597,802.55
  5. Step 5: Solve for x
    x = 62,362,597,802.55/286,712.16
  6. Step 6: Final answer
    x = 217,509.43

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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.