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Finding the Fourth Proportional to 342,006.30, 513,009.45 and 325,676.70

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Solution

The fourth proportional to 342,006.30, 513,009.45 and 325,676.70 is: 488,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,006.30 : 513,009.45 = 325,676.70 : x
  2. Step 2: Convert to fraction form
    342,006.30/513,009.45 = 325,676.70/x
  3. Step 3: Cross multiply
    342,006.30x = 513,009.45 × 325,676.70
  4. Step 4: Simplify right side
    342,006.30x = 167,075,224,744.82
  5. Step 5: Solve for x
    x = 167,075,224,744.82/342,006.30
  6. Step 6: Final answer
    x = 488,515.05

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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.