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Finding the Fourth Proportional to 553,286.10, 828,598.66 and 315,909.30

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Solution

The fourth proportional to 553,286.10, 828,598.66 and 315,909.30 is: 473,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,286.10 : 828,598.66 = 315,909.30 : x
  2. Step 2: Convert to fraction form
    553,286.10/828,598.66 = 315,909.30/x
  3. Step 3: Cross multiply
    553,286.10x = 828,598.66 × 315,909.30
  4. Step 4: Simplify right side
    553,286.10x = 261,762,022,661.54
  5. Step 5: Solve for x
    x = 261,762,022,661.54/553,286.10
  6. Step 6: Final answer
    x = 473,104.28

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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.