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Finding the Fourth Proportional to 326,681.19, 489,749.63 and 284,457.51

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Solution

The fourth proportional to 326,681.19, 489,749.63 and 284,457.51 is: 426,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,681.19 : 489,749.63 = 284,457.51 : x
  2. Step 2: Convert to fraction form
    326,681.19/489,749.63 = 284,457.51/x
  3. Step 3: Cross multiply
    326,681.19x = 489,749.63 × 284,457.51
  4. Step 4: Simplify right side
    326,681.19x = 139,312,958,850.93
  5. Step 5: Solve for x
    x = 139,312,958,850.93/326,681.19
  6. Step 6: Final answer
    x = 426,449.28

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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.