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Finding the Fourth Proportional to 390,258, 538,559.28 and 211,410

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Solution

The fourth proportional to 390,258, 538,559.28 and 211,410 is: 291,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,258 : 538,559.28 = 211,410 : x
  2. Step 2: Convert to fraction form
    390,258/538,559.28 = 211,410/x
  3. Step 3: Cross multiply
    390,258x = 538,559.28 × 211,410
  4. Step 4: Simplify right side
    390,258x = 113,856,817,384.80
  5. Step 5: Solve for x
    x = 113,856,817,384.80/390,258
  6. Step 6: Final answer
    x = 291,747.56

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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.