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Finding the Fourth Proportional to 500,740, 691,021.20 and 288,772

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Solution

The fourth proportional to 500,740, 691,021.20 and 288,772 is: 398,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,740 : 691,021.20 = 288,772 : x
  2. Step 2: Convert to fraction form
    500,740/691,021.20 = 288,772/x
  3. Step 3: Cross multiply
    500,740x = 691,021.20 × 288,772
  4. Step 4: Simplify right side
    500,740x = 199,547,573,966.40
  5. Step 5: Solve for x
    x = 199,547,573,966.40/500,740
  6. Step 6: Final answer
    x = 398,505.36

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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.