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Finding the Fourth Proportional to 642,478.88, 885,814.80 and 412,630.40

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Solution

The fourth proportional to 642,478.88, 885,814.80 and 412,630.40 is: 568,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,478.88 : 885,814.80 = 412,630.40 : x
  2. Step 2: Convert to fraction form
    642,478.88/885,814.80 = 412,630.40/x
  3. Step 3: Cross multiply
    642,478.88x = 885,814.80 × 412,630.40
  4. Step 4: Simplify right side
    642,478.88x = 365,514,115,249.92
  5. Step 5: Solve for x
    x = 365,514,115,249.92/642,478.88
  6. Step 6: Final answer
    x = 568,912.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.