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Finding the Fourth Proportional to 290,206.92, 435,150.54 and 155,428.94

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Solution

The fourth proportional to 290,206.92, 435,150.54 and 155,428.94 is: 233,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,206.92 : 435,150.54 = 155,428.94 : x
  2. Step 2: Convert to fraction form
    290,206.92/435,150.54 = 155,428.94/x
  3. Step 3: Cross multiply
    290,206.92x = 435,150.54 × 155,428.94
  4. Step 4: Simplify right side
    290,206.92x = 67,634,987,823.36
  5. Step 5: Solve for x
    x = 67,634,987,823.36/290,206.92
  6. Step 6: Final answer
    x = 233,057.81

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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.