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Finding the Fourth Proportional to 310,700.69, 428,762.89 and 174,734.60

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Solution

The fourth proportional to 310,700.69, 428,762.89 and 174,734.60 is: 241,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,700.69 : 428,762.89 = 174,734.60 : x
  2. Step 2: Convert to fraction form
    310,700.69/428,762.89 = 174,734.60/x
  3. Step 3: Cross multiply
    310,700.69x = 428,762.89 × 174,734.60
  4. Step 4: Simplify right side
    310,700.69x = 74,919,713,056.83
  5. Step 5: Solve for x
    x = 74,919,713,056.83/310,700.69
  6. Step 6: Final answer
    x = 241,131.46

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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.