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Finding the Fourth Proportional to 380,755.46, 525,441.12 and 210,989.45

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Solution

The fourth proportional to 380,755.46, 525,441.12 and 210,989.45 is: 291,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,755.46 : 525,441.12 = 210,989.45 : x
  2. Step 2: Convert to fraction form
    380,755.46/525,441.12 = 210,989.45/x
  3. Step 3: Cross multiply
    380,755.46x = 525,441.12 × 210,989.45
  4. Step 4: Simplify right side
    380,755.46x = 110,862,532,916.18
  5. Step 5: Solve for x
    x = 110,862,532,916.18/380,755.46
  6. Step 6: Final answer
    x = 291,164.66

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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.