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Finding the Fourth Proportional to 290,575.72, 435,862.93 and 77,343.67

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Solution

The fourth proportional to 290,575.72, 435,862.93 and 77,343.67 is: 116,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,575.72 : 435,862.93 = 77,343.67 : x
  2. Step 2: Convert to fraction form
    290,575.72/435,862.93 = 77,343.67/x
  3. Step 3: Cross multiply
    290,575.72x = 435,862.93 × 77,343.67
  4. Step 4: Simplify right side
    290,575.72x = 33,711,238,623.15
  5. Step 5: Solve for x
    x = 33,711,238,623.15/290,575.72
  6. Step 6: Final answer
    x = 116,015.33

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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.