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Finding the Fourth Proportional to 476,701.20, 714,468.60 and 210,178.80

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Solution

The fourth proportional to 476,701.20, 714,468.60 and 210,178.80 is: 315,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,701.20 : 714,468.60 = 210,178.80 : x
  2. Step 2: Convert to fraction form
    476,701.20/714,468.60 = 210,178.80/x
  3. Step 3: Cross multiply
    476,701.20x = 714,468.60 × 210,178.80
  4. Step 4: Simplify right side
    476,701.20x = 150,166,152,985.68
  5. Step 5: Solve for x
    x = 150,166,152,985.68/476,701.20
  6. Step 6: Final answer
    x = 315,011.07

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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.