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Finding the Fourth Proportional to 524,815.20, 787,611.60 and 209,498.40

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Solution

The fourth proportional to 524,815.20, 787,611.60 and 209,498.40 is: 314,402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,815.20 : 787,611.60 = 209,498.40 : x
  2. Step 2: Convert to fraction form
    524,815.20/787,611.60 = 209,498.40/x
  3. Step 3: Cross multiply
    524,815.20x = 787,611.60 × 209,498.40
  4. Step 4: Simplify right side
    524,815.20x = 165,003,370,021.44
  5. Step 5: Solve for x
    x = 165,003,370,021.44/524,815.20
  6. Step 6: Final answer
    x = 314,402.80

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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.