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Finding the Fourth Proportional to 371,574.88, 512,756.17 and 210,431.08

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Solution

The fourth proportional to 371,574.88, 512,756.17 and 210,431.08 is: 290,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,574.88 : 512,756.17 = 210,431.08 : x
  2. Step 2: Convert to fraction form
    371,574.88/512,756.17 = 210,431.08/x
  3. Step 3: Cross multiply
    371,574.88x = 512,756.17 × 210,431.08
  4. Step 4: Simplify right side
    371,574.88x = 107,899,832,821.80
  5. Step 5: Solve for x
    x = 107,899,832,821.80/371,574.88
  6. Step 6: Final answer
    x = 290,385.17

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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.