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Finding the Fourth Proportional to 475,251.60, 713,069.40 and 209,062.80

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Solution

The fourth proportional to 475,251.60, 713,069.40 and 209,062.80 is: 313,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,251.60 : 713,069.40 = 209,062.80 : x
  2. Step 2: Convert to fraction form
    475,251.60/713,069.40 = 209,062.80/x
  3. Step 3: Cross multiply
    475,251.60x = 713,069.40 × 209,062.80
  4. Step 4: Simplify right side
    475,251.60x = 149,076,285,358.32
  5. Step 5: Solve for x
    x = 149,076,285,358.32/475,251.60
  6. Step 6: Final answer
    x = 313,678.66

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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.