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Finding the Fourth Proportional to 286,851.28, 395,864.52 and 157,795.24

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Solution

The fourth proportional to 286,851.28, 395,864.52 and 157,795.24 is: 217,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,851.28 : 395,864.52 = 157,795.24 : x
  2. Step 2: Convert to fraction form
    286,851.28/395,864.52 = 157,795.24/x
  3. Step 3: Cross multiply
    286,851.28x = 395,864.52 × 157,795.24
  4. Step 4: Simplify right side
    286,851.28x = 62,465,536,940.88
  5. Step 5: Solve for x
    x = 62,465,536,940.88/286,851.28
  6. Step 6: Final answer
    x = 217,762.80

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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.