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Finding the Fourth Proportional to 290,683.49, 435,642.50 and 155,731.92

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Solution

The fourth proportional to 290,683.49, 435,642.50 and 155,731.92 is: 233,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,683.49 : 435,642.50 = 155,731.92 : x
  2. Step 2: Convert to fraction form
    290,683.49/435,642.50 = 155,731.92/x
  3. Step 3: Cross multiply
    290,683.49x = 435,642.50 × 155,731.92
  4. Step 4: Simplify right side
    290,683.49x = 67,843,441,714.27
  5. Step 5: Solve for x
    x = 67,843,441,714.27/290,683.49
  6. Step 6: Final answer
    x = 233,392.83

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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.