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Finding the Fourth Proportional to 285,628.60, 394,152.26 and 164,762.66

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Solution

The fourth proportional to 285,628.60, 394,152.26 and 164,762.66 is: 227,363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,628.60 : 394,152.26 = 164,762.66 : x
  2. Step 2: Convert to fraction form
    285,628.60/394,152.26 = 164,762.66/x
  3. Step 3: Cross multiply
    285,628.60x = 394,152.26 × 164,762.66
  4. Step 4: Simplify right side
    285,628.60x = 64,941,574,802.61
  5. Step 5: Solve for x
    x = 64,941,574,802.61/285,628.60
  6. Step 6: Final answer
    x = 227,363.70

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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.