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Finding the Fourth Proportional to 309,252.98, 463,969.38 and 129,423.26

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Solution

The fourth proportional to 309,252.98, 463,969.38 and 129,423.26 is: 194,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,252.98 : 463,969.38 = 129,423.26 : x
  2. Step 2: Convert to fraction form
    309,252.98/463,969.38 = 129,423.26/x
  3. Step 3: Cross multiply
    309,252.98x = 463,969.38 × 129,423.26
  4. Step 4: Simplify right side
    309,252.98x = 60,048,429,699.78
  5. Step 5: Solve for x
    x = 60,048,429,699.78/309,252.98
  6. Step 6: Final answer
    x = 194,172.52

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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.