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Finding the Fourth Proportional to 286,075.72, 394,789.50 and 157,026.28

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Solution

The fourth proportional to 286,075.72, 394,789.50 and 157,026.28 is: 216,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,075.72 : 394,789.50 = 157,026.28 : x
  2. Step 2: Convert to fraction form
    286,075.72/394,789.50 = 157,026.28/x
  3. Step 3: Cross multiply
    286,075.72x = 394,789.50 × 157,026.28
  4. Step 4: Simplify right side
    286,075.72x = 61,992,326,568.06
  5. Step 5: Solve for x
    x = 61,992,326,568.06/286,075.72
  6. Step 6: Final answer
    x = 216,699.01

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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.