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Finding the Fourth Proportional to 309,017.37, 463,825.68 and 149,206.06

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Solution

The fourth proportional to 309,017.37, 463,825.68 and 149,206.06 is: 223,953.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,017.37 : 463,825.68 = 149,206.06 : x
  2. Step 2: Convert to fraction form
    309,017.37/463,825.68 = 149,206.06/x
  3. Step 3: Cross multiply
    309,017.37x = 463,825.68 × 149,206.06
  4. Step 4: Simplify right side
    309,017.37x = 69,205,602,239.62
  5. Step 5: Solve for x
    x = 69,205,602,239.62/309,017.37
  6. Step 6: Final answer
    x = 223,953.76

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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.