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Finding the Fourth Proportional to 286,776.92, 395,762.29 and 157,725.36

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Solution

The fourth proportional to 286,776.92, 395,762.29 and 157,725.36 is: 217,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,776.92 : 395,762.29 = 157,725.36 : x
  2. Step 2: Convert to fraction form
    286,776.92/395,762.29 = 157,725.36/x
  3. Step 3: Cross multiply
    286,776.92x = 395,762.29 × 157,725.36
  4. Step 4: Simplify right side
    286,776.92x = 62,421,749,270.36
  5. Step 5: Solve for x
    x = 62,421,749,270.36/286,776.92
  6. Step 6: Final answer
    x = 217,666.57

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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.