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Finding the Fourth Proportional to 290,613.84, 435,051.72 and 177,939.60

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Solution

The fourth proportional to 290,613.84, 435,051.72 and 177,939.60 is: 266,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,613.84 : 435,051.72 = 177,939.60 : x
  2. Step 2: Convert to fraction form
    290,613.84/435,051.72 = 177,939.60/x
  3. Step 3: Cross multiply
    290,613.84x = 435,051.72 × 177,939.60
  4. Step 4: Simplify right side
    290,613.84x = 77,412,929,036.11
  5. Step 5: Solve for x
    x = 77,412,929,036.11/290,613.84
  6. Step 6: Final answer
    x = 266,377.30

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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.