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Finding the Fourth Proportional to 319,506.48, 440,916.48 and 176,272.56

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Solution

The fourth proportional to 319,506.48, 440,916.48 and 176,272.56 is: 243,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,506.48 : 440,916.48 = 176,272.56 : x
  2. Step 2: Convert to fraction form
    319,506.48/440,916.48 = 176,272.56/x
  3. Step 3: Cross multiply
    319,506.48x = 440,916.48 × 176,272.56
  4. Step 4: Simplify right side
    319,506.48x = 77,721,476,675.79
  5. Step 5: Solve for x
    x = 77,721,476,675.79/319,506.48
  6. Step 6: Final answer
    x = 243,254.77

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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.