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Finding the Fourth Proportional to 290,457.28, 435,314.79 and 234,323.86

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Solution

The fourth proportional to 290,457.28, 435,314.79 and 234,323.86 is: 351,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,457.28 : 435,314.79 = 234,323.86 : x
  2. Step 2: Convert to fraction form
    290,457.28/435,314.79 = 234,323.86/x
  3. Step 3: Cross multiply
    290,457.28x = 435,314.79 × 234,323.86
  4. Step 4: Simplify right side
    290,457.28x = 102,004,639,731.32
  5. Step 5: Solve for x
    x = 102,004,639,731.32/290,457.28
  6. Step 6: Final answer
    x = 351,186.38

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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.