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Finding the Fourth Proportional to 314,903.45, 472,519.20 and 137,428.40

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Solution

The fourth proportional to 314,903.45, 472,519.20 and 137,428.40 is: 206,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,903.45 : 472,519.20 = 137,428.40 : x
  2. Step 2: Convert to fraction form
    314,903.45/472,519.20 = 137,428.40/x
  3. Step 3: Cross multiply
    314,903.45x = 472,519.20 × 137,428.40
  4. Step 4: Simplify right side
    314,903.45x = 64,937,557,625.28
  5. Step 5: Solve for x
    x = 64,937,557,625.28/314,903.45
  6. Step 6: Final answer
    x = 206,214.18

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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.