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Finding the Fourth Proportional to 370,931.90, 511,879.89 and 209,780.90

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Solution

The fourth proportional to 370,931.90, 511,879.89 and 209,780.90 is: 289,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,931.90 : 511,879.89 = 209,780.90 : x
  2. Step 2: Convert to fraction form
    370,931.90/511,879.89 = 209,780.90/x
  3. Step 3: Cross multiply
    370,931.90x = 511,879.89 × 209,780.90
  4. Step 4: Simplify right side
    370,931.90x = 107,382,624,016.10
  5. Step 5: Solve for x
    x = 107,382,624,016.10/370,931.90
  6. Step 6: Final answer
    x = 289,494.17

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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.