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Finding the Fourth Proportional to 316,050.72, 436,133.88 and 172,782.96

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Solution

The fourth proportional to 316,050.72, 436,133.88 and 172,782.96 is: 238,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,050.72 : 436,133.88 = 172,782.96 : x
  2. Step 2: Convert to fraction form
    316,050.72/436,133.88 = 172,782.96/x
  3. Step 3: Cross multiply
    316,050.72x = 436,133.88 × 172,782.96
  4. Step 4: Simplify right side
    316,050.72x = 75,356,502,742.68
  5. Step 5: Solve for x
    x = 75,356,502,742.68/316,050.72
  6. Step 6: Final answer
    x = 238,431.68

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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.