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Finding the Fourth Proportional to 307,867.96, 424,745.40 and 180,518.86

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Solution

The fourth proportional to 307,867.96, 424,745.40 and 180,518.86 is: 249,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,867.96 : 424,745.40 = 180,518.86 : x
  2. Step 2: Convert to fraction form
    307,867.96/424,745.40 = 180,518.86/x
  3. Step 3: Cross multiply
    307,867.96x = 424,745.40 × 180,518.86
  4. Step 4: Simplify right side
    307,867.96x = 76,674,555,398.24
  5. Step 5: Solve for x
    x = 76,674,555,398.24/307,867.96
  6. Step 6: Final answer
    x = 249,050.13

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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.