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Finding the Fourth Proportional to 947,305, 1,421,657.34 and 448,669

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Solution

The fourth proportional to 947,305, 1,421,657.34 and 448,669 is: 673,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,305 : 1,421,657.34 = 448,669 : x
  2. Step 2: Convert to fraction form
    947,305/1,421,657.34 = 448,669/x
  3. Step 3: Cross multiply
    947,305x = 1,421,657.34 × 448,669
  4. Step 4: Simplify right side
    947,305x = 637,853,577,080.46
  5. Step 5: Solve for x
    x = 637,853,577,080.46/947,305
  6. Step 6: Final answer
    x = 673,334.96

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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.