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Finding the Fourth Proportional to 680,968.50, 939,666.99 and 419,282.25

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Solution

The fourth proportional to 680,968.50, 939,666.99 and 419,282.25 is: 578,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,968.50 : 939,666.99 = 419,282.25 : x
  2. Step 2: Convert to fraction form
    680,968.50/939,666.99 = 419,282.25/x
  3. Step 3: Cross multiply
    680,968.50x = 939,666.99 × 419,282.25
  4. Step 4: Simplify right side
    680,968.50x = 393,985,689,817.93
  5. Step 5: Solve for x
    x = 393,985,689,817.93/680,968.50
  6. Step 6: Final answer
    x = 578,566.69

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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.