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Finding the Fourth Proportional to 309,428.50, 427,011.33 and 175,292.50

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Solution

The fourth proportional to 309,428.50, 427,011.33 and 175,292.50 is: 241,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,428.50 : 427,011.33 = 175,292.50 : x
  2. Step 2: Convert to fraction form
    309,428.50/427,011.33 = 175,292.50/x
  3. Step 3: Cross multiply
    309,428.50x = 427,011.33 × 175,292.50
  4. Step 4: Simplify right side
    309,428.50x = 74,851,883,564.03
  5. Step 5: Solve for x
    x = 74,851,883,564.03/309,428.50
  6. Step 6: Final answer
    x = 241,903.65

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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.