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Finding the Fourth Proportional to 314,381.45, 433,906.19 and 178,428.12

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Solution

The fourth proportional to 314,381.45, 433,906.19 and 178,428.12 is: 246,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,381.45 : 433,906.19 = 178,428.12 : x
  2. Step 2: Convert to fraction form
    314,381.45/433,906.19 = 178,428.12/x
  3. Step 3: Cross multiply
    314,381.45x = 433,906.19 × 178,428.12
  4. Step 4: Simplify right side
    314,381.45x = 77,421,065,738.06
  5. Step 5: Solve for x
    x = 77,421,065,738.06/314,381.45
  6. Step 6: Final answer
    x = 246,264.74

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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.