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Finding the Fourth Proportional to 309,459.72, 463,888.26 and 159,868.92

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Solution

The fourth proportional to 309,459.72, 463,888.26 and 159,868.92 is: 239,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,459.72 : 463,888.26 = 159,868.92 : x
  2. Step 2: Convert to fraction form
    309,459.72/463,888.26 = 159,868.92/x
  3. Step 3: Cross multiply
    309,459.72x = 463,888.26 × 159,868.92
  4. Step 4: Simplify right side
    309,459.72x = 74,161,315,126.88
  5. Step 5: Solve for x
    x = 74,161,315,126.88/309,459.72
  6. Step 6: Final answer
    x = 239,647.72

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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.