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Finding the Fourth Proportional to 392,075.56, 588,001.02 and 214,661.80

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Solution

The fourth proportional to 392,075.56, 588,001.02 and 214,661.80 is: 321,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,075.56 : 588,001.02 = 214,661.80 : x
  2. Step 2: Convert to fraction form
    392,075.56/588,001.02 = 214,661.80/x
  3. Step 3: Cross multiply
    392,075.56x = 588,001.02 × 214,661.80
  4. Step 4: Simplify right side
    392,075.56x = 126,221,357,355.04
  5. Step 5: Solve for x
    x = 126,221,357,355.04/392,075.56
  6. Step 6: Final answer
    x = 321,931.20

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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.