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Finding the Fourth Proportional to 286,805.75, 395,801.53 and 157,749.67

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Solution

The fourth proportional to 286,805.75, 395,801.53 and 157,749.67 is: 217,699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,805.75 : 395,801.53 = 157,749.67 : x
  2. Step 2: Convert to fraction form
    286,805.75/395,801.53 = 157,749.67/x
  3. Step 3: Cross multiply
    286,805.75x = 395,801.53 × 157,749.67
  4. Step 4: Simplify right side
    286,805.75x = 62,437,559,359.12
  5. Step 5: Solve for x
    x = 62,437,559,359.12/286,805.75
  6. Step 6: Final answer
    x = 217,699.82

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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.