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Finding the Fourth Proportional to 475,977.60, 713,966.40 and 287,020.80

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Solution

The fourth proportional to 475,977.60, 713,966.40 and 287,020.80 is: 430,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,977.60 : 713,966.40 = 287,020.80 : x
  2. Step 2: Convert to fraction form
    475,977.60/713,966.40 = 287,020.80/x
  3. Step 3: Cross multiply
    475,977.60x = 713,966.40 × 287,020.80
  4. Step 4: Simplify right side
    475,977.60x = 204,923,207,301.12
  5. Step 5: Solve for x
    x = 204,923,207,301.12/475,977.60
  6. Step 6: Final answer
    x = 430,531.20

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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.