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Finding the Fourth Proportional to 288,755.40, 432,842.32 and 120,368.95

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Solution

The fourth proportional to 288,755.40, 432,842.32 and 120,368.95 is: 180,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,755.40 : 432,842.32 = 120,368.95 : x
  2. Step 2: Convert to fraction form
    288,755.40/432,842.32 = 120,368.95/x
  3. Step 3: Cross multiply
    288,755.40x = 432,842.32 × 120,368.95
  4. Step 4: Simplify right side
    288,755.40x = 52,100,775,573.96
  5. Step 5: Solve for x
    x = 52,100,775,573.96/288,755.40
  6. Step 6: Final answer
    x = 180,432.21

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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.