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Finding the Fourth Proportional to 384,004.60, 576,007.02 and 343,569.40

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Solution

The fourth proportional to 384,004.60, 576,007.02 and 343,569.40 is: 515,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,004.60 : 576,007.02 = 343,569.40 : x
  2. Step 2: Convert to fraction form
    384,004.60/576,007.02 = 343,569.40/x
  3. Step 3: Cross multiply
    384,004.60x = 576,007.02 × 343,569.40
  4. Step 4: Simplify right side
    384,004.60x = 197,898,386,257.19
  5. Step 5: Solve for x
    x = 197,898,386,257.19/384,004.60
  6. Step 6: Final answer
    x = 515,354.21

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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.