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Finding the Fourth Proportional to 328,712.50, 453,623.66 and 177,809.50

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Solution

The fourth proportional to 328,712.50, 453,623.66 and 177,809.50 is: 245,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,712.50 : 453,623.66 = 177,809.50 : x
  2. Step 2: Convert to fraction form
    328,712.50/453,623.66 = 177,809.50/x
  3. Step 3: Cross multiply
    328,712.50x = 453,623.66 × 177,809.50
  4. Step 4: Simplify right side
    328,712.50x = 80,658,596,172.77
  5. Step 5: Solve for x
    x = 80,658,596,172.77/328,712.50
  6. Step 6: Final answer
    x = 245,377.33

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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.