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Finding the Fourth Proportional to 384,778.40, 577,167.60 and 207,631.40

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Solution

The fourth proportional to 384,778.40, 577,167.60 and 207,631.40 is: 311,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,778.40 : 577,167.60 = 207,631.40 : x
  2. Step 2: Convert to fraction form
    384,778.40/577,167.60 = 207,631.40/x
  3. Step 3: Cross multiply
    384,778.40x = 577,167.60 × 207,631.40
  4. Step 4: Simplify right side
    384,778.40x = 119,838,116,822.64
  5. Step 5: Solve for x
    x = 119,838,116,822.64/384,778.40
  6. Step 6: Final answer
    x = 311,447.10

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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.