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Finding the Fourth Proportional to 310,449, 428,420.16 and 176,313

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Solution

The fourth proportional to 310,449, 428,420.16 and 176,313 is: 243,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,449 : 428,420.16 = 176,313 : x
  2. Step 2: Convert to fraction form
    310,449/428,420.16 = 176,313/x
  3. Step 3: Cross multiply
    310,449x = 428,420.16 × 176,313
  4. Step 4: Simplify right side
    310,449x = 75,536,043,670.08
  5. Step 5: Solve for x
    x = 75,536,043,670.08/310,449
  6. Step 6: Final answer
    x = 243,312.25

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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.