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Finding the Fourth Proportional to 328,914.80, 492,388.05 and 293,485.40

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Solution

The fourth proportional to 328,914.80, 492,388.05 and 293,485.40 is: 439,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,914.80 : 492,388.05 = 293,485.40 : x
  2. Step 2: Convert to fraction form
    328,914.80/492,388.05 = 293,485.40/x
  3. Step 3: Cross multiply
    328,914.80x = 492,388.05 × 293,485.40
  4. Step 4: Simplify right side
    328,914.80x = 144,508,703,809.47
  5. Step 5: Solve for x
    x = 144,508,703,809.47/328,914.80
  6. Step 6: Final answer
    x = 439,349.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.