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Finding the Fourth Proportional to 659,397.70, 989,085.82 and 210,112.50

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Solution

The fourth proportional to 659,397.70, 989,085.82 and 210,112.50 is: 315,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,397.70 : 989,085.82 = 210,112.50 : x
  2. Step 2: Convert to fraction form
    659,397.70/989,085.82 = 210,112.50/x
  3. Step 3: Cross multiply
    659,397.70x = 989,085.82 × 210,112.50
  4. Step 4: Simplify right side
    659,397.70x = 207,819,294,354.75
  5. Step 5: Solve for x
    x = 207,819,294,354.75/659,397.70
  6. Step 6: Final answer
    x = 315,165.33

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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.