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Finding the Fourth Proportional to 456,902.68, 685,427.46 and 157,309.60

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Solution

The fourth proportional to 456,902.68, 685,427.46 and 157,309.60 is: 235,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,902.68 : 685,427.46 = 157,309.60 : x
  2. Step 2: Convert to fraction form
    456,902.68/685,427.46 = 157,309.60/x
  3. Step 3: Cross multiply
    456,902.68x = 685,427.46 × 157,309.60
  4. Step 4: Simplify right side
    456,902.68x = 107,824,319,561.62
  5. Step 5: Solve for x
    x = 107,824,319,561.62/456,902.68
  6. Step 6: Final answer
    x = 235,989.69

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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.