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Finding the Fourth Proportional to 502,646.20, 753,969.30 and 413,999.80

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Solution

The fourth proportional to 502,646.20, 753,969.30 and 413,999.80 is: 620,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,646.20 : 753,969.30 = 413,999.80 : x
  2. Step 2: Convert to fraction form
    502,646.20/753,969.30 = 413,999.80/x
  3. Step 3: Cross multiply
    502,646.20x = 753,969.30 × 413,999.80
  4. Step 4: Simplify right side
    502,646.20x = 312,143,139,406.14
  5. Step 5: Solve for x
    x = 312,143,139,406.14/502,646.20
  6. Step 6: Final answer
    x = 620,999.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.