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Finding the Fourth Proportional to 319,507.20, 440,921.40 and 176,267.20

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Solution

The fourth proportional to 319,507.20, 440,921.40 and 176,267.20 is: 243,249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,507.20 : 440,921.40 = 176,267.20 : x
  2. Step 2: Convert to fraction form
    319,507.20/440,921.40 = 176,267.20/x
  3. Step 3: Cross multiply
    319,507.20x = 440,921.40 × 176,267.20
  4. Step 4: Simplify right side
    319,507.20x = 77,719,980,598.08
  5. Step 5: Solve for x
    x = 77,719,980,598.08/319,507.20
  6. Step 6: Final answer
    x = 243,249.54

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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.