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Finding the Fourth Proportional to 314,933.32, 471,957.90 and 172,412.20

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Solution

The fourth proportional to 314,933.32, 471,957.90 and 172,412.20 is: 258,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,933.32 : 471,957.90 = 172,412.20 : x
  2. Step 2: Convert to fraction form
    314,933.32/471,957.90 = 172,412.20/x
  3. Step 3: Cross multiply
    314,933.32x = 471,957.90 × 172,412.20
  4. Step 4: Simplify right side
    314,933.32x = 81,371,299,846.38
  5. Step 5: Solve for x
    x = 81,371,299,846.38/314,933.32
  6. Step 6: Final answer
    x = 258,376.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.