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Finding the Fourth Proportional to 578,022.80, 869,107.80 and 486,784.40

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Solution

The fourth proportional to 578,022.80, 869,107.80 and 486,784.40 is: 731,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,022.80 : 869,107.80 = 486,784.40 : x
  2. Step 2: Convert to fraction form
    578,022.80/869,107.80 = 486,784.40/x
  3. Step 3: Cross multiply
    578,022.80x = 869,107.80 × 486,784.40
  4. Step 4: Simplify right side
    578,022.80x = 423,068,118,958.32
  5. Step 5: Solve for x
    x = 423,068,118,958.32/578,022.80
  6. Step 6: Final answer
    x = 731,922.89

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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.