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Finding the Fourth Proportional to 502,004.62, 692,764.95 and 300,800.62

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Solution

The fourth proportional to 502,004.62, 692,764.95 and 300,800.62 is: 415,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,004.62 : 692,764.95 = 300,800.62 : x
  2. Step 2: Convert to fraction form
    502,004.62/692,764.95 = 300,800.62/x
  3. Step 3: Cross multiply
    502,004.62x = 692,764.95 × 300,800.62
  4. Step 4: Simplify right side
    502,004.62x = 208,384,126,474.27
  5. Step 5: Solve for x
    x = 208,384,126,474.27/502,004.62
  6. Step 6: Final answer
    x = 415,104.00

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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.