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Finding the Fourth Proportional to 509,253.26, 702,505.98 and 345,918.20

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Solution

The fourth proportional to 509,253.26, 702,505.98 and 345,918.20 is: 477,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,253.26 : 702,505.98 = 345,918.20 : x
  2. Step 2: Convert to fraction form
    509,253.26/702,505.98 = 345,918.20/x
  3. Step 3: Cross multiply
    509,253.26x = 702,505.98 × 345,918.20
  4. Step 4: Simplify right side
    509,253.26x = 243,009,600,578.31
  5. Step 5: Solve for x
    x = 243,009,600,578.31/509,253.26
  6. Step 6: Final answer
    x = 477,188.11

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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.