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Finding the Fourth Proportional to 310,830.16, 428,921.09 and 174,837.03

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Solution

The fourth proportional to 310,830.16, 428,921.09 and 174,837.03 is: 241,261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,830.16 : 428,921.09 = 174,837.03 : x
  2. Step 2: Convert to fraction form
    310,830.16/428,921.09 = 174,837.03/x
  3. Step 3: Cross multiply
    310,830.16x = 428,921.09 × 174,837.03
  4. Step 4: Simplify right side
    310,830.16x = 74,991,286,461.17
  5. Step 5: Solve for x
    x = 74,991,286,461.17/310,830.16
  6. Step 6: Final answer
    x = 241,261.30

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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.