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Finding the Fourth Proportional to 310,451.84, 428,459.04 and 172,644.51

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Solution

The fourth proportional to 310,451.84, 428,459.04 and 172,644.51 is: 238,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,451.84 : 428,459.04 = 172,644.51 : x
  2. Step 2: Convert to fraction form
    310,451.84/428,459.04 = 172,644.51/x
  3. Step 3: Cross multiply
    310,451.84x = 428,459.04 × 172,644.51
  4. Step 4: Simplify right side
    310,451.84x = 73,971,101,015.87
  5. Step 5: Solve for x
    x = 73,971,101,015.87/310,451.84
  6. Step 6: Final answer
    x = 238,269.17

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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.