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Finding the Fourth Proportional to 288,004.70, 432,007.05 and 278,327.90

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Solution

The fourth proportional to 288,004.70, 432,007.05 and 278,327.90 is: 417,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,004.70 : 432,007.05 = 278,327.90 : x
  2. Step 2: Convert to fraction form
    288,004.70/432,007.05 = 278,327.90/x
  3. Step 3: Cross multiply
    288,004.70x = 432,007.05 × 278,327.90
  4. Step 4: Simplify right side
    288,004.70x = 120,239,615,011.70
  5. Step 5: Solve for x
    x = 120,239,615,011.70/288,004.70
  6. Step 6: Final answer
    x = 417,491.85

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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.