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Finding the Fourth Proportional to 371,559.80, 512,784.14 and 210,443.51

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Solution

The fourth proportional to 371,559.80, 512,784.14 and 210,443.51 is: 290,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,559.80 : 512,784.14 = 210,443.51 : x
  2. Step 2: Convert to fraction form
    371,559.80/512,784.14 = 210,443.51/x
  3. Step 3: Cross multiply
    371,559.80x = 512,784.14 × 210,443.51
  4. Step 4: Simplify right side
    371,559.80x = 107,912,091,730.01
  5. Step 5: Solve for x
    x = 107,912,091,730.01/371,559.80
  6. Step 6: Final answer
    x = 290,429.95

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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.