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Finding the Fourth Proportional to 501,245.76, 691,567.98 and 307,454.31

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Solution

The fourth proportional to 501,245.76, 691,567.98 and 307,454.31 is: 424,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,245.76 : 691,567.98 = 307,454.31 : x
  2. Step 2: Convert to fraction form
    501,245.76/691,567.98 = 307,454.31/x
  3. Step 3: Cross multiply
    501,245.76x = 691,567.98 × 307,454.31
  4. Step 4: Simplify right side
    501,245.76x = 212,625,556,108.99
  5. Step 5: Solve for x
    x = 212,625,556,108.99/501,245.76
  6. Step 6: Final answer
    x = 424,194.22

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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.