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Finding the Fourth Proportional to 316,539.81, 436,866.54 and 180,542.58

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Solution

The fourth proportional to 316,539.81, 436,866.54 and 180,542.58 is: 249,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,539.81 : 436,866.54 = 180,542.58 : x
  2. Step 2: Convert to fraction form
    316,539.81/436,866.54 = 180,542.58/x
  3. Step 3: Cross multiply
    316,539.81x = 436,866.54 × 180,542.58
  4. Step 4: Simplify right side
    316,539.81x = 78,873,013,511.48
  5. Step 5: Solve for x
    x = 78,873,013,511.48/316,539.81
  6. Step 6: Final answer
    x = 249,172.49

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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.