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Finding the Fourth Proportional to 340,965.84, 470,734.48 and 303,135.42

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Solution

The fourth proportional to 340,965.84, 470,734.48 and 303,135.42 is: 418,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,965.84 : 470,734.48 = 303,135.42 : x
  2. Step 2: Convert to fraction form
    340,965.84/470,734.48 = 303,135.42/x
  3. Step 3: Cross multiply
    340,965.84x = 470,734.48 × 303,135.42
  4. Step 4: Simplify right side
    340,965.84x = 142,696,294,303.28
  5. Step 5: Solve for x
    x = 142,696,294,303.28/340,965.84
  6. Step 6: Final answer
    x = 418,506.13

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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.