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Finding the Fourth Proportional to 580,930.80, 869,063.40 and 502,911.60

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Solution

The fourth proportional to 580,930.80, 869,063.40 and 502,911.60 is: 752,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,930.80 : 869,063.40 = 502,911.60 : x
  2. Step 2: Convert to fraction form
    580,930.80/869,063.40 = 502,911.60/x
  3. Step 3: Cross multiply
    580,930.80x = 869,063.40 × 502,911.60
  4. Step 4: Simplify right side
    580,930.80x = 437,062,064,995.44
  5. Step 5: Solve for x
    x = 437,062,064,995.44/580,930.80
  6. Step 6: Final answer
    x = 752,347.90

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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.