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Finding the Fourth Proportional to 310,189.84, 428,063.70 and 174,223.80

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Solution

The fourth proportional to 310,189.84, 428,063.70 and 174,223.80 is: 240,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,189.84 : 428,063.70 = 174,223.80 : x
  2. Step 2: Convert to fraction form
    310,189.84/428,063.70 = 174,223.80/x
  3. Step 3: Cross multiply
    310,189.84x = 428,063.70 × 174,223.80
  4. Step 4: Simplify right side
    310,189.84x = 74,578,884,456.06
  5. Step 5: Solve for x
    x = 74,578,884,456.06/310,189.84
  6. Step 6: Final answer
    x = 240,429.81

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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.