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Finding the Fourth Proportional to 309,624.37, 427,281.51 and 180,537.94

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Solution

The fourth proportional to 309,624.37, 427,281.51 and 180,537.94 is: 249,142.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,624.37 : 427,281.51 = 180,537.94 : x
  2. Step 2: Convert to fraction form
    309,624.37/427,281.51 = 180,537.94/x
  3. Step 3: Cross multiply
    309,624.37x = 427,281.51 × 180,537.94
  4. Step 4: Simplify right side
    309,624.37x = 77,140,522,101.59
  5. Step 5: Solve for x
    x = 77,140,522,101.59/309,624.37
  6. Step 6: Final answer
    x = 249,142.28

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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.