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Finding the Fourth Proportional to 371,019.70, 512,016.33 and 209,867.14

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Solution

The fourth proportional to 371,019.70, 512,016.33 and 209,867.14 is: 289,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,019.70 : 512,016.33 = 209,867.14 : x
  2. Step 2: Convert to fraction form
    371,019.70/512,016.33 = 209,867.14/x
  3. Step 3: Cross multiply
    371,019.70x = 512,016.33 × 209,867.14
  4. Step 4: Simplify right side
    371,019.70x = 107,455,402,810.40
  5. Step 5: Solve for x
    x = 107,455,402,810.40/371,019.70
  6. Step 6: Final answer
    x = 289,621.83

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1.5x scale

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.