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Finding the Fourth Proportional to 647,881.52, 972,102.96 and 348,012.23

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Solution

The fourth proportional to 647,881.52, 972,102.96 and 348,012.23 is: 522,169.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,881.52 : 972,102.96 = 348,012.23 : x
  2. Step 2: Convert to fraction form
    647,881.52/972,102.96 = 348,012.23/x
  3. Step 3: Cross multiply
    647,881.52x = 972,102.96 × 348,012.23
  4. Step 4: Simplify right side
    647,881.52x = 338,303,718,899.20
  5. Step 5: Solve for x
    x = 338,303,718,899.20/647,881.52
  6. Step 6: Final answer
    x = 522,169.11

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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.