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Finding the Fourth Proportional to 409,673.10, 614,509.65 and 326,729.10

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Solution

The fourth proportional to 409,673.10, 614,509.65 and 326,729.10 is: 490,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,673.10 : 614,509.65 = 326,729.10 : x
  2. Step 2: Convert to fraction form
    409,673.10/614,509.65 = 326,729.10/x
  3. Step 3: Cross multiply
    409,673.10x = 614,509.65 × 326,729.10
  4. Step 4: Simplify right side
    409,673.10x = 200,778,184,885.82
  5. Step 5: Solve for x
    x = 200,778,184,885.82/409,673.10
  6. Step 6: Final answer
    x = 490,093.65

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1.5x scale

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.