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Finding the Fourth Proportional to 310,804.32, 428,897.52 and 174,840.96

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Solution

The fourth proportional to 310,804.32, 428,897.52 and 174,840.96 is: 241,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,804.32 : 428,897.52 = 174,840.96 : x
  2. Step 2: Convert to fraction form
    310,804.32/428,897.52 = 174,840.96/x
  3. Step 3: Cross multiply
    310,804.32x = 428,897.52 × 174,840.96
  4. Step 4: Simplify right side
    310,804.32x = 74,988,854,138.42
  5. Step 5: Solve for x
    x = 74,988,854,138.42/310,804.32
  6. Step 6: Final answer
    x = 241,273.53

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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.