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Finding the Fourth Proportional to 456,728.64, 684,922.56 and 157,124.48

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Solution

The fourth proportional to 456,728.64, 684,922.56 and 157,124.48 is: 235,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,728.64 : 684,922.56 = 157,124.48 : x
  2. Step 2: Convert to fraction form
    456,728.64/684,922.56 = 157,124.48/x
  3. Step 3: Cross multiply
    456,728.64x = 684,922.56 × 157,124.48
  4. Step 4: Simplify right side
    456,728.64x = 107,618,101,080.27
  5. Step 5: Solve for x
    x = 107,618,101,080.27/456,728.64
  6. Step 6: Final answer
    x = 235,628.10

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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.