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Finding the Fourth Proportional to 340,169.81, 510,420.69 and 213,869.43

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Solution

The fourth proportional to 340,169.81, 510,420.69 and 213,869.43 is: 320,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,169.81 : 510,420.69 = 213,869.43 : x
  2. Step 2: Convert to fraction form
    340,169.81/510,420.69 = 213,869.43/x
  3. Step 3: Cross multiply
    340,169.81x = 510,420.69 × 213,869.43
  4. Step 4: Simplify right side
    340,169.81x = 109,163,382,030.51
  5. Step 5: Solve for x
    x = 109,163,382,030.51/340,169.81
  6. Step 6: Final answer
    x = 320,908.50

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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.