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Finding the Fourth Proportional to 420,673.91, 631,050.53 and 326,010.13

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Solution

The fourth proportional to 420,673.91, 631,050.53 and 326,010.13 is: 489,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,673.91 : 631,050.53 = 326,010.13 : x
  2. Step 2: Convert to fraction form
    420,673.91/631,050.53 = 326,010.13/x
  3. Step 3: Cross multiply
    420,673.91x = 631,050.53 × 326,010.13
  4. Step 4: Simplify right side
    420,673.91x = 205,728,862,114.19
  5. Step 5: Solve for x
    x = 205,728,862,114.19/420,673.91
  6. Step 6: Final answer
    x = 489,045.92

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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.