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Finding the Fourth Proportional to 290,262.72, 435,056.04 and 140,291.76

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Solution

The fourth proportional to 290,262.72, 435,056.04 and 140,291.76 is: 210,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,262.72 : 435,056.04 = 140,291.76 : x
  2. Step 2: Convert to fraction form
    290,262.72/435,056.04 = 140,291.76/x
  3. Step 3: Cross multiply
    290,262.72x = 435,056.04 × 140,291.76
  4. Step 4: Simplify right side
    290,262.72x = 61,034,777,550.23
  5. Step 5: Solve for x
    x = 61,034,777,550.23/290,262.72
  6. Step 6: Final answer
    x = 210,274.26

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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.