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Finding the Fourth Proportional to 442,006.43, 609,973.07 and 251,021.21

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Solution

The fourth proportional to 442,006.43, 609,973.07 and 251,021.21 is: 346,411.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,006.43 : 609,973.07 = 251,021.21 : x
  2. Step 2: Convert to fraction form
    442,006.43/609,973.07 = 251,021.21/x
  3. Step 3: Cross multiply
    442,006.43x = 609,973.07 × 251,021.21
  4. Step 4: Simplify right side
    442,006.43x = 153,116,173,793.84
  5. Step 5: Solve for x
    x = 153,116,173,793.84/442,006.43
  6. Step 6: Final answer
    x = 346,411.65

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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.