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Finding the Fourth Proportional to 288,720.72, 433,081.08 and 140,850

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Solution

The fourth proportional to 288,720.72, 433,081.08 and 140,850 is: 211,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,720.72 : 433,081.08 = 140,850 : x
  2. Step 2: Convert to fraction form
    288,720.72/433,081.08 = 140,850/x
  3. Step 3: Cross multiply
    288,720.72x = 433,081.08 × 140,850
  4. Step 4: Simplify right side
    288,720.72x = 60,999,470,118
  5. Step 5: Solve for x
    x = 60,999,470,118/288,720.72
  6. Step 6: Final answer
    x = 211,275.00

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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.