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Finding the Fourth Proportional to 310,361.76, 465,457.68 and 85,668.48

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Solution

The fourth proportional to 310,361.76, 465,457.68 and 85,668.48 is: 128,479.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,361.76 : 465,457.68 = 85,668.48 : x
  2. Step 2: Convert to fraction form
    310,361.76/465,457.68 = 85,668.48/x
  3. Step 3: Cross multiply
    310,361.76x = 465,457.68 × 85,668.48
  4. Step 4: Simplify right side
    310,361.76x = 39,875,051,949.93
  5. Step 5: Solve for x
    x = 39,875,051,949.93/310,361.76
  6. Step 6: Final answer
    x = 128,479.27

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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.