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Finding the Fourth Proportional to 478,306, 660,092.24 and 263,446

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Solution

The fourth proportional to 478,306, 660,092.24 and 263,446 is: 363,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,306 : 660,092.24 = 263,446 : x
  2. Step 2: Convert to fraction form
    478,306/660,092.24 = 263,446/x
  3. Step 3: Cross multiply
    478,306x = 660,092.24 × 263,446
  4. Step 4: Simplify right side
    478,306x = 173,898,660,259.04
  5. Step 5: Solve for x
    x = 173,898,660,259.04/478,306
  6. Step 6: Final answer
    x = 363,571.98

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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.