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Finding the Fourth Proportional to 500,497.08, 690,622.83 and 398,780.28

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Solution

The fourth proportional to 500,497.08, 690,622.83 and 398,780.28 is: 550,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,497.08 : 690,622.83 = 398,780.28 : x
  2. Step 2: Convert to fraction form
    500,497.08/690,622.83 = 398,780.28/x
  3. Step 3: Cross multiply
    500,497.08x = 690,622.83 × 398,780.28
  4. Step 4: Simplify right side
    500,497.08x = 275,406,765,521.79
  5. Step 5: Solve for x
    x = 275,406,765,521.79/500,497.08
  6. Step 6: Final answer
    x = 550,266.48

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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.