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Finding the Fourth Proportional to 476,323.20, 713,901.60 and 209,800.80

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Solution

The fourth proportional to 476,323.20, 713,901.60 and 209,800.80 is: 314,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,323.20 : 713,901.60 = 209,800.80 : x
  2. Step 2: Convert to fraction form
    476,323.20/713,901.60 = 209,800.80/x
  3. Step 3: Cross multiply
    476,323.20x = 713,901.60 × 209,800.80
  4. Step 4: Simplify right side
    476,323.20x = 149,777,126,801.28
  5. Step 5: Solve for x
    x = 149,777,126,801.28/476,323.20
  6. Step 6: Final answer
    x = 314,444.32

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1.5x scale

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.