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Finding the Fourth Proportional to 310,955.94, 429,114 and 174,989.73

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Solution

The fourth proportional to 310,955.94, 429,114 and 174,989.73 is: 241,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,955.94 : 429,114 = 174,989.73 : x
  2. Step 2: Convert to fraction form
    310,955.94/429,114 = 174,989.73/x
  3. Step 3: Cross multiply
    310,955.94x = 429,114 × 174,989.73
  4. Step 4: Simplify right side
    310,955.94x = 75,090,542,999.22
  5. Step 5: Solve for x
    x = 75,090,542,999.22/310,955.94
  6. Step 6: Final answer
    x = 241,482.90

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1.5x scale

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.