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Finding the Fourth Proportional to 288,212.80, 432,582.88 and 146,156.12

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Solution

The fourth proportional to 288,212.80, 432,582.88 and 146,156.12 is: 219,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,212.80 : 432,582.88 = 146,156.12 : x
  2. Step 2: Convert to fraction form
    288,212.80/432,582.88 = 146,156.12/x
  3. Step 3: Cross multiply
    288,212.80x = 432,582.88 × 146,156.12
  4. Step 4: Simplify right side
    288,212.80x = 63,224,635,319.23
  5. Step 5: Solve for x
    x = 63,224,635,319.23/288,212.80
  6. Step 6: Final answer
    x = 219,367.90

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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.