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Finding the Fourth Proportional to 307,212.60, 431,341.80 and 307,212.60

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Solution

The fourth proportional to 307,212.60, 431,341.80 and 307,212.60 is: 431,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,212.60 : 431,341.80 = 307,212.60 : x
  2. Step 2: Convert to fraction form
    307,212.60/431,341.80 = 307,212.60/x
  3. Step 3: Cross multiply
    307,212.60x = 431,341.80 × 307,212.60
  4. Step 4: Simplify right side
    307,212.60x = 132,513,635,866.68
  5. Step 5: Solve for x
    x = 132,513,635,866.68/307,212.60
  6. Step 6: Final answer
    x = 431,341.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.