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Finding the Fourth Proportional to 465,174.71, 642,010.53 and 283,991.67

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Solution

The fourth proportional to 465,174.71, 642,010.53 and 283,991.67 is: 391,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,174.71 : 642,010.53 = 283,991.67 : x
  2. Step 2: Convert to fraction form
    465,174.71/642,010.53 = 283,991.67/x
  3. Step 3: Cross multiply
    465,174.71x = 642,010.53 × 283,991.67
  4. Step 4: Simplify right side
    465,174.71x = 182,325,642,572.29
  5. Step 5: Solve for x
    x = 182,325,642,572.29/465,174.71
  6. Step 6: Final answer
    x = 391,950.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.