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Finding the Fourth Proportional to 390,328.50, 538,653.36 and 211,480.50

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Solution

The fourth proportional to 390,328.50, 538,653.36 and 211,480.50 is: 291,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,328.50 : 538,653.36 = 211,480.50 : x
  2. Step 2: Convert to fraction form
    390,328.50/538,653.36 = 211,480.50/x
  3. Step 3: Cross multiply
    390,328.50x = 538,653.36 × 211,480.50
  4. Step 4: Simplify right side
    390,328.50x = 113,914,681,899.48
  5. Step 5: Solve for x
    x = 113,914,681,899.48/390,328.50
  6. Step 6: Final answer
    x = 291,843.11

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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.