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Finding the Fourth Proportional to 648,483, 972,728.82 and 205,251

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Solution

The fourth proportional to 648,483, 972,728.82 and 205,251 is: 307,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,483 : 972,728.82 = 205,251 : x
  2. Step 2: Convert to fraction form
    648,483/972,728.82 = 205,251/x
  3. Step 3: Cross multiply
    648,483x = 972,728.82 × 205,251
  4. Step 4: Simplify right side
    648,483x = 199,653,563,033.82
  5. Step 5: Solve for x
    x = 199,653,563,033.82/648,483
  6. Step 6: Final answer
    x = 307,877.87

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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.