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Finding the Fourth Proportional to 400,117.15, 600,644.54 and 315,934.08

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Solution

The fourth proportional to 400,117.15, 600,644.54 and 315,934.08 is: 474,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,117.15 : 600,644.54 = 315,934.08 : x
  2. Step 2: Convert to fraction form
    400,117.15/600,644.54 = 315,934.08/x
  3. Step 3: Cross multiply
    400,117.15x = 600,644.54 × 315,934.08
  4. Step 4: Simplify right side
    400,117.15x = 189,764,080,151.92
  5. Step 5: Solve for x
    x = 189,764,080,151.92/400,117.15
  6. Step 6: Final answer
    x = 474,271.30

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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.