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Finding the Fourth Proportional to 310,030.21, 427,808.64 and 174,079

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Solution

The fourth proportional to 310,030.21, 427,808.64 and 174,079 is: 240,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,030.21 : 427,808.64 = 174,079 : x
  2. Step 2: Convert to fraction form
    310,030.21/427,808.64 = 174,079/x
  3. Step 3: Cross multiply
    310,030.21x = 427,808.64 × 174,079
  4. Step 4: Simplify right side
    310,030.21x = 74,472,500,242.56
  5. Step 5: Solve for x
    x = 74,472,500,242.56/310,030.21
  6. Step 6: Final answer
    x = 240,210.46

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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.