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Finding the Fourth Proportional to 310,484, 428,467.92 and 169,172

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Solution

The fourth proportional to 310,484, 428,467.92 and 169,172 is: 233,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,484 : 428,467.92 = 169,172 : x
  2. Step 2: Convert to fraction form
    310,484/428,467.92 = 169,172/x
  3. Step 3: Cross multiply
    310,484x = 428,467.92 × 169,172
  4. Step 4: Simplify right side
    310,484x = 72,484,774,962.24
  5. Step 5: Solve for x
    x = 72,484,774,962.24/310,484
  6. Step 6: Final answer
    x = 233,457.36

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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.