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Finding the Fourth Proportional to 310,162.84, 428,187.27 and 208,721.68

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Solution

The fourth proportional to 310,162.84, 428,187.27 and 208,721.68 is: 288,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,162.84 : 428,187.27 = 208,721.68 : x
  2. Step 2: Convert to fraction form
    310,162.84/428,187.27 = 208,721.68/x
  3. Step 3: Cross multiply
    310,162.84x = 428,187.27 × 208,721.68
  4. Step 4: Simplify right side
    310,162.84x = 89,371,966,349.01
  5. Step 5: Solve for x
    x = 89,371,966,349.01/310,162.84
  6. Step 6: Final answer
    x = 288,145.31

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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.