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Finding the Fourth Proportional to 410,728.40, 616,050.84 and 278,458.64

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Solution

The fourth proportional to 410,728.40, 616,050.84 and 278,458.64 is: 417,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,728.40 : 616,050.84 = 278,458.64 : x
  2. Step 2: Convert to fraction form
    410,728.40/616,050.84 = 278,458.64/x
  3. Step 3: Cross multiply
    410,728.40x = 616,050.84 × 278,458.64
  4. Step 4: Simplify right side
    410,728.40x = 171,544,679,077.26
  5. Step 5: Solve for x
    x = 171,544,679,077.26/410,728.40
  6. Step 6: Final answer
    x = 417,659.65

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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.