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Finding the Fourth Proportional to 456,643.77, 684,951.53 and 216,930.23

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Solution

The fourth proportional to 456,643.77, 684,951.53 and 216,930.23 is: 325,388.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,643.77 : 684,951.53 = 216,930.23 : x
  2. Step 2: Convert to fraction form
    456,643.77/684,951.53 = 216,930.23/x
  3. Step 3: Cross multiply
    456,643.77x = 684,951.53 × 216,930.23
  4. Step 4: Simplify right side
    456,643.77x = 148,586,692,941.75
  5. Step 5: Solve for x
    x = 148,586,692,941.75/456,643.77
  6. Step 6: Final answer
    x = 325,388.63

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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.