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Finding the Fourth Proportional to 439,513.60, 657,520.80 and 380,999.20

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Solution

The fourth proportional to 439,513.60, 657,520.80 and 380,999.20 is: 569,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,513.60 : 657,520.80 = 380,999.20 : x
  2. Step 2: Convert to fraction form
    439,513.60/657,520.80 = 380,999.20/x
  3. Step 3: Cross multiply
    439,513.60x = 657,520.80 × 380,999.20
  4. Step 4: Simplify right side
    439,513.60x = 250,514,898,783.36
  5. Step 5: Solve for x
    x = 250,514,898,783.36/439,513.60
  6. Step 6: Final answer
    x = 569,982.13

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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.