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Finding the Fourth Proportional to 375,903.60, 564,017.40 and 218,266.80

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Solution

The fourth proportional to 375,903.60, 564,017.40 and 218,266.80 is: 327,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,903.60 : 564,017.40 = 218,266.80 : x
  2. Step 2: Convert to fraction form
    375,903.60/564,017.40 = 218,266.80/x
  3. Step 3: Cross multiply
    375,903.60x = 564,017.40 × 218,266.80
  4. Step 4: Simplify right side
    375,903.60x = 123,106,273,042.32
  5. Step 5: Solve for x
    x = 123,106,273,042.32/375,903.60
  6. Step 6: Final answer
    x = 327,494.26

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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.