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Finding the Fourth Proportional to 288,045.10, 431,703.15 and 110,314.90

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Solution

The fourth proportional to 288,045.10, 431,703.15 and 110,314.90 is: 165,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,045.10 : 431,703.15 = 110,314.90 : x
  2. Step 2: Convert to fraction form
    288,045.10/431,703.15 = 110,314.90/x
  3. Step 3: Cross multiply
    288,045.10x = 431,703.15 × 110,314.90
  4. Step 4: Simplify right side
    288,045.10x = 47,623,289,821.94
  5. Step 5: Solve for x
    x = 47,623,289,821.94/288,045.10
  6. Step 6: Final answer
    x = 165,332.75

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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.