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Finding the Fourth Proportional to 384,638.40, 576,957.60 and 207,491.40

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Solution

The fourth proportional to 384,638.40, 576,957.60 and 207,491.40 is: 311,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,638.40 : 576,957.60 = 207,491.40 : x
  2. Step 2: Convert to fraction form
    384,638.40/576,957.60 = 207,491.40/x
  3. Step 3: Cross multiply
    384,638.40x = 576,957.60 × 207,491.40
  4. Step 4: Simplify right side
    384,638.40x = 119,713,740,164.64
  5. Step 5: Solve for x
    x = 119,713,740,164.64/384,638.40
  6. Step 6: Final answer
    x = 311,237.10

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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.