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Finding the Fourth Proportional to 319,506.95, 440,921.07 and 176,266.95

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Solution

The fourth proportional to 319,506.95, 440,921.07 and 176,266.95 is: 243,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,506.95 : 440,921.07 = 176,266.95 : x
  2. Step 2: Convert to fraction form
    319,506.95/440,921.07 = 176,266.95/x
  3. Step 3: Cross multiply
    319,506.95x = 440,921.07 × 176,266.95
  4. Step 4: Simplify right side
    319,506.95x = 77,719,812,199.64
  5. Step 5: Solve for x
    x = 77,719,812,199.64/319,506.95
  6. Step 6: Final answer
    x = 243,249.21

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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.