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Finding the Fourth Proportional to 290,574.72, 435,861.43 and 77,342.67

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Solution

The fourth proportional to 290,574.72, 435,861.43 and 77,342.67 is: 116,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,574.72 : 435,861.43 = 77,342.67 : x
  2. Step 2: Convert to fraction form
    290,574.72/435,861.43 = 77,342.67/x
  3. Step 3: Cross multiply
    290,574.72x = 435,861.43 × 77,342.67
  4. Step 4: Simplify right side
    290,574.72x = 33,710,686,552.86
  5. Step 5: Solve for x
    x = 33,710,686,552.86/290,574.72
  6. Step 6: Final answer
    x = 116,013.83

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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.