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Finding the Fourth Proportional to 610,683.26, 842,756.40 and 338,742.32

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Solution

The fourth proportional to 610,683.26, 842,756.40 and 338,742.32 is: 467,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,683.26 : 842,756.40 = 338,742.32 : x
  2. Step 2: Convert to fraction form
    610,683.26/842,756.40 = 338,742.32/x
  3. Step 3: Cross multiply
    610,683.26x = 842,756.40 × 338,742.32
  4. Step 4: Simplify right side
    610,683.26x = 285,477,253,917.07
  5. Step 5: Solve for x
    x = 285,477,253,917.07/610,683.26
  6. Step 6: Final answer
    x = 467,471.89

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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.