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Finding the Fourth Proportional to 412,980.60, 619,470.90 and 287,009.40

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Solution

The fourth proportional to 412,980.60, 619,470.90 and 287,009.40 is: 430,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,980.60 : 619,470.90 = 287,009.40 : x
  2. Step 2: Convert to fraction form
    412,980.60/619,470.90 = 287,009.40/x
  3. Step 3: Cross multiply
    412,980.60x = 619,470.90 × 287,009.40
  4. Step 4: Simplify right side
    412,980.60x = 177,793,971,326.46
  5. Step 5: Solve for x
    x = 177,793,971,326.46/412,980.60
  6. Step 6: Final answer
    x = 430,514.10

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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.