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Finding the Fourth Proportional to 319,515.64, 440,916.18 and 174,312.78

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Solution

The fourth proportional to 319,515.64, 440,916.18 and 174,312.78 is: 240,543.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,515.64 : 440,916.18 = 174,312.78 : x
  2. Step 2: Convert to fraction form
    319,515.64/440,916.18 = 174,312.78/x
  3. Step 3: Cross multiply
    319,515.64x = 440,916.18 × 174,312.78
  4. Step 4: Simplify right side
    319,515.64x = 76,857,325,082.78
  5. Step 5: Solve for x
    x = 76,857,325,082.78/319,515.64
  6. Step 6: Final answer
    x = 240,543.23

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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.