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Finding the Fourth Proportional to 328,259.84, 492,156.48 and 168,384

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Solution

The fourth proportional to 328,259.84, 492,156.48 and 168,384 is: 252,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,259.84 : 492,156.48 = 168,384 : x
  2. Step 2: Convert to fraction form
    328,259.84/492,156.48 = 168,384/x
  3. Step 3: Cross multiply
    328,259.84x = 492,156.48 × 168,384
  4. Step 4: Simplify right side
    328,259.84x = 82,871,276,728.32
  5. Step 5: Solve for x
    x = 82,871,276,728.32/328,259.84
  6. Step 6: Final answer
    x = 252,456.34

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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.