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Finding the Fourth Proportional to 328,264.62, 492,397.02 and 103,647.78

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Solution

The fourth proportional to 328,264.62, 492,397.02 and 103,647.78 is: 155,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,264.62 : 492,397.02 = 103,647.78 : x
  2. Step 2: Convert to fraction form
    328,264.62/492,397.02 = 103,647.78/x
  3. Step 3: Cross multiply
    328,264.62x = 492,397.02 × 103,647.78
  4. Step 4: Simplify right side
    328,264.62x = 51,035,858,001.62
  5. Step 5: Solve for x
    x = 51,035,858,001.62/328,264.62
  6. Step 6: Final answer
    x = 155,471.70

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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.