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Finding the Fourth Proportional to 290,133.83, 435,180.17 and 76,897.01

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Solution

The fourth proportional to 290,133.83, 435,180.17 and 76,897.01 is: 115,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,133.83 : 435,180.17 = 76,897.01 : x
  2. Step 2: Convert to fraction form
    290,133.83/435,180.17 = 76,897.01/x
  3. Step 3: Cross multiply
    290,133.83x = 435,180.17 × 76,897.01
  4. Step 4: Simplify right side
    290,133.83x = 33,464,055,164.48
  5. Step 5: Solve for x
    x = 33,464,055,164.48/290,133.83
  6. Step 6: Final answer
    x = 115,340.07

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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.