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Finding the Fourth Proportional to 631,536, 947,770.56 and 299,112

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Solution

The fourth proportional to 631,536, 947,770.56 and 299,112 is: 448,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,536 : 947,770.56 = 299,112 : x
  2. Step 2: Convert to fraction form
    631,536/947,770.56 = 299,112/x
  3. Step 3: Cross multiply
    631,536x = 947,770.56 × 299,112
  4. Step 4: Simplify right side
    631,536x = 283,489,547,742.72
  5. Step 5: Solve for x
    x = 283,489,547,742.72/631,536
  6. Step 6: Final answer
    x = 448,888.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.