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Finding the Fourth Proportional to 389,919.06, 538,088.40 and 211,071.06

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Solution

The fourth proportional to 389,919.06, 538,088.40 and 211,071.06 is: 291,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,919.06 : 538,088.40 = 211,071.06 : x
  2. Step 2: Convert to fraction form
    389,919.06/538,088.40 = 211,071.06/x
  3. Step 3: Cross multiply
    389,919.06x = 538,088.40 × 211,071.06
  4. Step 4: Simplify right side
    389,919.06x = 113,574,888,961.70
  5. Step 5: Solve for x
    x = 113,574,888,961.70/389,919.06
  6. Step 6: Final answer
    x = 291,278.12

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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.