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Finding the Fourth Proportional to 510,619.33, 766,042.73 and 155,661

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Solution

The fourth proportional to 510,619.33, 766,042.73 and 155,661 is: 233,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,619.33 : 766,042.73 = 155,661 : x
  2. Step 2: Convert to fraction form
    510,619.33/766,042.73 = 155,661/x
  3. Step 3: Cross multiply
    510,619.33x = 766,042.73 × 155,661
  4. Step 4: Simplify right side
    510,619.33x = 119,242,977,394.53
  5. Step 5: Solve for x
    x = 119,242,977,394.53/510,619.33
  6. Step 6: Final answer
    x = 233,526.17

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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.