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Finding the Fourth Proportional to 310,446, 428,416.02 and 176,310

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Solution

The fourth proportional to 310,446, 428,416.02 and 176,310 is: 243,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,446 : 428,416.02 = 176,310 : x
  2. Step 2: Convert to fraction form
    310,446/428,416.02 = 176,310/x
  3. Step 3: Cross multiply
    310,446x = 428,416.02 × 176,310
  4. Step 4: Simplify right side
    310,446x = 75,534,028,486.20
  5. Step 5: Solve for x
    x = 75,534,028,486.20/310,446
  6. Step 6: Final answer
    x = 243,308.11

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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.