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Finding the Fourth Proportional to 465,222, 642,006.36 and 253,254

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Solution

The fourth proportional to 465,222, 642,006.36 and 253,254 is: 349,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,222 : 642,006.36 = 253,254 : x
  2. Step 2: Convert to fraction form
    465,222/642,006.36 = 253,254/x
  3. Step 3: Cross multiply
    465,222x = 642,006.36 × 253,254
  4. Step 4: Simplify right side
    465,222x = 162,590,678,695.44
  5. Step 5: Solve for x
    x = 162,590,678,695.44/465,222
  6. Step 6: Final answer
    x = 349,490.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.