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Finding the Fourth Proportional to 319,064.30, 440,307.82 and 175,824.31

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Solution

The fourth proportional to 319,064.30, 440,307.82 and 175,824.31 is: 242,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,064.30 : 440,307.82 = 175,824.31 : x
  2. Step 2: Convert to fraction form
    319,064.30/440,307.82 = 175,824.31/x
  3. Step 3: Cross multiply
    319,064.30x = 440,307.82 × 175,824.31
  4. Step 4: Simplify right side
    319,064.30x = 77,416,818,639.10
  5. Step 5: Solve for x
    x = 77,416,818,639.10/319,064.30
  6. Step 6: Final answer
    x = 242,637.04

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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.