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Finding the Fourth Proportional to 642,005.76, 885,969.12 and 355,548.48

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Solution

The fourth proportional to 642,005.76, 885,969.12 and 355,548.48 is: 490,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,005.76 : 885,969.12 = 355,548.48 : x
  2. Step 2: Convert to fraction form
    642,005.76/885,969.12 = 355,548.48/x
  3. Step 3: Cross multiply
    642,005.76x = 885,969.12 × 355,548.48
  4. Step 4: Simplify right side
    642,005.76x = 315,004,973,942.94
  5. Step 5: Solve for x
    x = 315,004,973,942.94/642,005.76
  6. Step 6: Final answer
    x = 490,657.55

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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.