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Finding the Fourth Proportional to 288,745.79, 432,827.87 and 120,359.33

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Solution

The fourth proportional to 288,745.79, 432,827.87 and 120,359.33 is: 180,417.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,745.79 : 432,827.87 = 120,359.33 : x
  2. Step 2: Convert to fraction form
    288,745.79/432,827.87 = 120,359.33/x
  3. Step 3: Cross multiply
    288,745.79x = 432,827.87 × 120,359.33
  4. Step 4: Simplify right side
    288,745.79x = 52,094,870,575.29
  5. Step 5: Solve for x
    x = 52,094,870,575.29/288,745.79
  6. Step 6: Final answer
    x = 180,417.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.