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Finding the Fourth Proportional to 319,095.65, 440,352 and 175,855.69

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Solution

The fourth proportional to 319,095.65, 440,352 and 175,855.69 is: 242,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,095.65 : 440,352 = 175,855.69 : x
  2. Step 2: Convert to fraction form
    319,095.65/440,352 = 175,855.69/x
  3. Step 3: Cross multiply
    319,095.65x = 440,352 × 175,855.69
  4. Step 4: Simplify right side
    319,095.65x = 77,438,404,802.88
  5. Step 5: Solve for x
    x = 77,438,404,802.88/319,095.65
  6. Step 6: Final answer
    x = 242,680.85

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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.