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Finding the Fourth Proportional to 538,008.72, 742,540.80 and 410,443.44

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Solution

The fourth proportional to 538,008.72, 742,540.80 and 410,443.44 is: 566,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,008.72 : 742,540.80 = 410,443.44 : x
  2. Step 2: Convert to fraction form
    538,008.72/742,540.80 = 410,443.44/x
  3. Step 3: Cross multiply
    538,008.72x = 742,540.80 × 410,443.44
  4. Step 4: Simplify right side
    538,008.72x = 304,771,000,292.35
  5. Step 5: Solve for x
    x = 304,771,000,292.35/538,008.72
  6. Step 6: Final answer
    x = 566,479.67

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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.