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Finding the Fourth Proportional to 713,817.78, 1,069,299.09 and 429,351.25

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Solution

The fourth proportional to 713,817.78, 1,069,299.09 and 429,351.25 is: 643,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,817.78 : 1,069,299.09 = 429,351.25 : x
  2. Step 2: Convert to fraction form
    713,817.78/1,069,299.09 = 429,351.25/x
  3. Step 3: Cross multiply
    713,817.78x = 1,069,299.09 × 429,351.25
  4. Step 4: Simplify right side
    713,817.78x = 459,104,900,915.36
  5. Step 5: Solve for x
    x = 459,104,900,915.36/713,817.78
  6. Step 6: Final answer
    x = 643,168.21

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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.