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Finding the Fourth Proportional to 316,114.19, 436,241.03 and 172,871.16

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Solution

The fourth proportional to 316,114.19, 436,241.03 and 172,871.16 is: 238,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,114.19 : 436,241.03 = 172,871.16 : x
  2. Step 2: Convert to fraction form
    316,114.19/436,241.03 = 172,871.16/x
  3. Step 3: Cross multiply
    316,114.19x = 436,241.03 × 172,871.16
  4. Step 4: Simplify right side
    316,114.19x = 75,413,490,395.44
  5. Step 5: Solve for x
    x = 75,413,490,395.44/316,114.19
  6. Step 6: Final answer
    x = 238,564.08

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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.