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Finding the Fourth Proportional to 468,582.88, 646,739.76 and 317,728.48

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Solution

The fourth proportional to 468,582.88, 646,739.76 and 317,728.48 is: 438,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,582.88 : 646,739.76 = 317,728.48 : x
  2. Step 2: Convert to fraction form
    468,582.88/646,739.76 = 317,728.48/x
  3. Step 3: Cross multiply
    468,582.88x = 646,739.76 × 317,728.48
  4. Step 4: Simplify right side
    468,582.88x = 205,487,640,900.37
  5. Step 5: Solve for x
    x = 205,487,640,900.37/468,582.88
  6. Step 6: Final answer
    x = 438,529.98

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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.