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Finding the Fourth Proportional to 538,351.40, 742,915.14 and 296,656.28

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Solution

The fourth proportional to 538,351.40, 742,915.14 and 296,656.28 is: 409,380.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,351.40 : 742,915.14 = 296,656.28 : x
  2. Step 2: Convert to fraction form
    538,351.40/742,915.14 = 296,656.28/x
  3. Step 3: Cross multiply
    538,351.40x = 742,915.14 × 296,656.28
  4. Step 4: Simplify right side
    538,351.40x = 220,390,441,788.08
  5. Step 5: Solve for x
    x = 220,390,441,788.08/538,351.40
  6. Step 6: Final answer
    x = 409,380.27

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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.