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Finding the Fourth Proportional to 326,277.69, 489,271.90 and 174,437.93

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Solution

The fourth proportional to 326,277.69, 489,271.90 and 174,437.93 is: 261,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,277.69 : 489,271.90 = 174,437.93 : x
  2. Step 2: Convert to fraction form
    326,277.69/489,271.90 = 174,437.93/x
  3. Step 3: Cross multiply
    326,277.69x = 489,271.90 × 174,437.93
  4. Step 4: Simplify right side
    326,277.69x = 85,347,577,443.17
  5. Step 5: Solve for x
    x = 85,347,577,443.17/326,277.69
  6. Step 6: Final answer
    x = 261,579.57

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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.