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Finding the Fourth Proportional to 316,539.35, 436,865.90 and 180,542.12

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Solution

The fourth proportional to 316,539.35, 436,865.90 and 180,542.12 is: 249,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,539.35 : 436,865.90 = 180,542.12 : x
  2. Step 2: Convert to fraction form
    316,539.35/436,865.90 = 180,542.12/x
  3. Step 3: Cross multiply
    316,539.35x = 436,865.90 × 180,542.12
  4. Step 4: Simplify right side
    316,539.35x = 78,872,695,741.71
  5. Step 5: Solve for x
    x = 78,872,695,741.71/316,539.35
  6. Step 6: Final answer
    x = 249,171.85

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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.