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Finding the Fourth Proportional to 307,715.80, 461,573.70 and 293,200.60

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Solution

The fourth proportional to 307,715.80, 461,573.70 and 293,200.60 is: 439,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,715.80 : 461,573.70 = 293,200.60 : x
  2. Step 2: Convert to fraction form
    307,715.80/461,573.70 = 293,200.60/x
  3. Step 3: Cross multiply
    307,715.80x = 461,573.70 × 293,200.60
  4. Step 4: Simplify right side
    307,715.80x = 135,333,685,784.22
  5. Step 5: Solve for x
    x = 135,333,685,784.22/307,715.80
  6. Step 6: Final answer
    x = 439,800.90

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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.