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Finding the Fourth Proportional to 290,421.81, 435,687.12 and 130,493.79

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Solution

The fourth proportional to 290,421.81, 435,687.12 and 130,493.79 is: 195,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,421.81 : 435,687.12 = 130,493.79 : x
  2. Step 2: Convert to fraction form
    290,421.81/435,687.12 = 130,493.79/x
  3. Step 3: Cross multiply
    290,421.81x = 435,687.12 × 130,493.79
  4. Step 4: Simplify right side
    290,421.81x = 56,854,463,542.98
  5. Step 5: Solve for x
    x = 56,854,463,542.98/290,421.81
  6. Step 6: Final answer
    x = 195,765.13

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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.