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Finding the Fourth Proportional to 500,857.40, 691,148.41 and 296,897.78

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Solution

The fourth proportional to 500,857.40, 691,148.41 and 296,897.78 is: 409,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,857.40 : 691,148.41 = 296,897.78 : x
  2. Step 2: Convert to fraction form
    500,857.40/691,148.41 = 296,897.78/x
  3. Step 3: Cross multiply
    500,857.40x = 691,148.41 × 296,897.78
  4. Step 4: Simplify right side
    500,857.40x = 205,200,424,381.54
  5. Step 5: Solve for x
    x = 205,200,424,381.54/500,857.40
  6. Step 6: Final answer
    x = 409,698.30

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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.