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Finding the Fourth Proportional to 306,528.16, 423,004.76 and 172,392.16

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Solution

The fourth proportional to 306,528.16, 423,004.76 and 172,392.16 is: 237,898.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,528.16 : 423,004.76 = 172,392.16 : x
  2. Step 2: Convert to fraction form
    306,528.16/423,004.76 = 172,392.16/x
  3. Step 3: Cross multiply
    306,528.16x = 423,004.76 × 172,392.16
  4. Step 4: Simplify right side
    306,528.16x = 72,922,704,266.68
  5. Step 5: Solve for x
    x = 72,922,704,266.68/306,528.16
  6. Step 6: Final answer
    x = 237,898.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.