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Finding the Fourth Proportional to 288,048.40, 431,493.90 and 143,518.29

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Solution

The fourth proportional to 288,048.40, 431,493.90 and 143,518.29 is: 214,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,048.40 : 431,493.90 = 143,518.29 : x
  2. Step 2: Convert to fraction form
    288,048.40/431,493.90 = 143,518.29/x
  3. Step 3: Cross multiply
    288,048.40x = 431,493.90 × 143,518.29
  4. Step 4: Simplify right side
    288,048.40x = 61,927,265,930.56
  5. Step 5: Solve for x
    x = 61,927,265,930.56/288,048.40
  6. Step 6: Final answer
    x = 214,989.10

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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.