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Finding the Fourth Proportional to 631,496, 947,711.52 and 299,072.96

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Solution

The fourth proportional to 631,496, 947,711.52 and 299,072.96 is: 448,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,496 : 947,711.52 = 299,072.96 : x
  2. Step 2: Convert to fraction form
    631,496/947,711.52 = 299,072.96/x
  3. Step 3: Cross multiply
    631,496x = 947,711.52 × 299,072.96
  4. Step 4: Simplify right side
    631,496x = 283,434,889,512.50
  5. Step 5: Solve for x
    x = 283,434,889,512.50/631,496
  6. Step 6: Final answer
    x = 448,830.85

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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.