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Finding the Fourth Proportional to 523,928.80, 785,893.20 and 313,458.40

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Solution

The fourth proportional to 523,928.80, 785,893.20 and 313,458.40 is: 470,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,928.80 : 785,893.20 = 313,458.40 : x
  2. Step 2: Convert to fraction form
    523,928.80/785,893.20 = 313,458.40/x
  3. Step 3: Cross multiply
    523,928.80x = 785,893.20 × 313,458.40
  4. Step 4: Simplify right side
    523,928.80x = 246,344,825,042.88
  5. Step 5: Solve for x
    x = 246,344,825,042.88/523,928.80
  6. Step 6: Final answer
    x = 470,187.60

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1.5x scale

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.