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Finding the Fourth Proportional to 384,433.20, 576,649.80 and 365,187.60

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Solution

The fourth proportional to 384,433.20, 576,649.80 and 365,187.60 is: 547,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,433.20 : 576,649.80 = 365,187.60 : x
  2. Step 2: Convert to fraction form
    384,433.20/576,649.80 = 365,187.60/x
  3. Step 3: Cross multiply
    384,433.20x = 576,649.80 × 365,187.60
  4. Step 4: Simplify right side
    384,433.20x = 210,585,356,502.48
  5. Step 5: Solve for x
    x = 210,585,356,502.48/384,433.20
  6. Step 6: Final answer
    x = 547,781.40

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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.