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Finding the Fourth Proportional to 379,658, 523,938.98 and 209,903.06

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Solution

The fourth proportional to 379,658, 523,938.98 and 209,903.06 is: 289,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,658 : 523,938.98 = 209,903.06 : x
  2. Step 2: Convert to fraction form
    379,658/523,938.98 = 209,903.06/x
  3. Step 3: Cross multiply
    379,658x = 523,938.98 × 209,903.06
  4. Step 4: Simplify right side
    379,658x = 109,976,395,155.28
  5. Step 5: Solve for x
    x = 109,976,395,155.28/379,658
  6. Step 6: Final answer
    x = 289,672.27

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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.