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Finding the Fourth Proportional to 310,161.84, 428,185.89 and 208,720.68

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Solution

The fourth proportional to 310,161.84, 428,185.89 and 208,720.68 is: 288,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,161.84 : 428,185.89 = 208,720.68 : x
  2. Step 2: Convert to fraction form
    310,161.84/428,185.89 = 208,720.68/x
  3. Step 3: Cross multiply
    310,161.84x = 428,185.89 × 208,720.68
  4. Step 4: Simplify right side
    310,161.84x = 89,371,250,127.21
  5. Step 5: Solve for x
    x = 89,371,250,127.21/310,161.84
  6. Step 6: Final answer
    x = 288,143.93

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1.5x scale

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.