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Finding the Fourth Proportional to 319,222.84, 440,530.50 and 175,987.96

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Solution

The fourth proportional to 319,222.84, 440,530.50 and 175,987.96 is: 242,865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,222.84 : 440,530.50 = 175,987.96 : x
  2. Step 2: Convert to fraction form
    319,222.84/440,530.50 = 175,987.96/x
  3. Step 3: Cross multiply
    319,222.84x = 440,530.50 × 175,987.96
  4. Step 4: Simplify right side
    319,222.84x = 77,528,064,012.78
  5. Step 5: Solve for x
    x = 77,528,064,012.78/319,222.84
  6. Step 6: Final answer
    x = 242,865.03

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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.