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Finding the Fourth Proportional to 456,662.47, 684,979.50 and 216,948.88

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Solution

The fourth proportional to 456,662.47, 684,979.50 and 216,948.88 is: 325,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,662.47 : 684,979.50 = 216,948.88 : x
  2. Step 2: Convert to fraction form
    456,662.47/684,979.50 = 216,948.88/x
  3. Step 3: Cross multiply
    456,662.47x = 684,979.50 × 216,948.88
  4. Step 4: Simplify right side
    456,662.47x = 148,605,531,923.06
  5. Step 5: Solve for x
    x = 148,605,531,923.06/456,662.47
  6. Step 6: Final answer
    x = 325,416.57

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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.