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Finding the Fourth Proportional to 469,150.90, 647,412.50 and 278,050.84

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Solution

The fourth proportional to 469,150.90, 647,412.50 and 278,050.84 is: 383,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,150.90 : 647,412.50 = 278,050.84 : x
  2. Step 2: Convert to fraction form
    469,150.90/647,412.50 = 278,050.84/x
  3. Step 3: Cross multiply
    469,150.90x = 647,412.50 × 278,050.84
  4. Step 4: Simplify right side
    469,150.90x = 180,013,589,451.50
  5. Step 5: Solve for x
    x = 180,013,589,451.50/469,150.90
  6. Step 6: Final answer
    x = 383,700.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.