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Finding the Fourth Proportional to 288,216, 432,479.52 and 140,472

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Solution

The fourth proportional to 288,216, 432,479.52 and 140,472 is: 210,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,216 : 432,479.52 = 140,472 : x
  2. Step 2: Convert to fraction form
    288,216/432,479.52 = 140,472/x
  3. Step 3: Cross multiply
    288,216x = 432,479.52 × 140,472
  4. Step 4: Simplify right side
    288,216x = 60,751,263,133.44
  5. Step 5: Solve for x
    x = 60,751,263,133.44/288,216
  6. Step 6: Final answer
    x = 210,783.80

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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.