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Finding the Fourth Proportional to 309,140.90, 463,625.70 and 109,434.98

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Solution

The fourth proportional to 309,140.90, 463,625.70 and 109,434.98 is: 164,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,140.90 : 463,625.70 = 109,434.98 : x
  2. Step 2: Convert to fraction form
    309,140.90/463,625.70 = 109,434.98/x
  3. Step 3: Cross multiply
    309,140.90x = 463,625.70 × 109,434.98
  4. Step 4: Simplify right side
    309,140.90x = 50,736,869,206.99
  5. Step 5: Solve for x
    x = 50,736,869,206.99/309,140.90
  6. Step 6: Final answer
    x = 164,122.15

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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.