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Finding the Fourth Proportional to 456,572.80, 684,932.16 and 140,955.52

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Solution

The fourth proportional to 456,572.80, 684,932.16 and 140,955.52 is: 211,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,572.80 : 684,932.16 = 140,955.52 : x
  2. Step 2: Convert to fraction form
    456,572.80/684,932.16 = 140,955.52/x
  3. Step 3: Cross multiply
    456,572.80x = 684,932.16 × 140,955.52
  4. Step 4: Simplify right side
    456,572.80x = 96,544,968,777.52
  5. Step 5: Solve for x
    x = 96,544,968,777.52/456,572.80
  6. Step 6: Final answer
    x = 211,455.80

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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.