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Finding the Fourth Proportional to 642,206.48, 886,274.12 and 355,726.52

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Solution

The fourth proportional to 642,206.48, 886,274.12 and 355,726.52 is: 490,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,206.48 : 886,274.12 = 355,726.52 : x
  2. Step 2: Convert to fraction form
    642,206.48/886,274.12 = 355,726.52/x
  3. Step 3: Cross multiply
    642,206.48x = 886,274.12 × 355,726.52
  4. Step 4: Simplify right side
    642,206.48x = 315,271,208,473.66
  5. Step 5: Solve for x
    x = 315,271,208,473.66/642,206.48
  6. Step 6: Final answer
    x = 490,918.76

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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.