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Finding the Fourth Proportional to 384,096.80, 576,145.20 and 103,642.40

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Solution

The fourth proportional to 384,096.80, 576,145.20 and 103,642.40 is: 155,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,096.80 : 576,145.20 = 103,642.40 : x
  2. Step 2: Convert to fraction form
    384,096.80/576,145.20 = 103,642.40/x
  3. Step 3: Cross multiply
    384,096.80x = 576,145.20 × 103,642.40
  4. Step 4: Simplify right side
    384,096.80x = 59,713,071,276.48
  5. Step 5: Solve for x
    x = 59,713,071,276.48/384,096.80
  6. Step 6: Final answer
    x = 155,463.60

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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.