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Finding the Fourth Proportional to 659,448.70, 989,154.51 and 210,196.51

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Solution

The fourth proportional to 659,448.70, 989,154.51 and 210,196.51 is: 315,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,448.70 : 989,154.51 = 210,196.51 : x
  2. Step 2: Convert to fraction form
    659,448.70/989,154.51 = 210,196.51/x
  3. Step 3: Cross multiply
    659,448.70x = 989,154.51 × 210,196.51
  4. Step 4: Simplify right side
    659,448.70x = 207,916,825,852.76
  5. Step 5: Solve for x
    x = 207,916,825,852.76/659,448.70
  6. Step 6: Final answer
    x = 315,288.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.