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Finding the Fourth Proportional to 456,275.76, 684,355.20 and 189,986.64

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Solution

The fourth proportional to 456,275.76, 684,355.20 and 189,986.64 is: 284,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,275.76 : 684,355.20 = 189,986.64 : x
  2. Step 2: Convert to fraction form
    456,275.76/684,355.20 = 189,986.64/x
  3. Step 3: Cross multiply
    456,275.76x = 684,355.20 × 189,986.64
  4. Step 4: Simplify right side
    456,275.76x = 130,018,345,014.53
  5. Step 5: Solve for x
    x = 130,018,345,014.53/456,275.76
  6. Step 6: Final answer
    x = 284,955.63

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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.