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Finding the Fourth Proportional to 390,466.24, 538,846.56 and 211,618.24

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Solution

The fourth proportional to 390,466.24, 538,846.56 and 211,618.24 is: 292,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,466.24 : 538,846.56 = 211,618.24 : x
  2. Step 2: Convert to fraction form
    390,466.24/538,846.56 = 211,618.24/x
  3. Step 3: Cross multiply
    390,466.24x = 538,846.56 × 211,618.24
  4. Step 4: Simplify right side
    390,466.24x = 114,029,760,657.25
  5. Step 5: Solve for x
    x = 114,029,760,657.25/390,466.24
  6. Step 6: Final answer
    x = 292,034.88

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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.