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Finding the Fourth Proportional to 309,054.53, 463,580.16 and 98,687.81

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Solution

The fourth proportional to 309,054.53, 463,580.16 and 98,687.81 is: 148,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,054.53 : 463,580.16 = 98,687.81 : x
  2. Step 2: Convert to fraction form
    309,054.53/463,580.16 = 98,687.81/x
  3. Step 3: Cross multiply
    309,054.53x = 463,580.16 × 98,687.81
  4. Step 4: Simplify right side
    309,054.53x = 45,749,708,431.95
  5. Step 5: Solve for x
    x = 45,749,708,431.95/309,054.53
  6. Step 6: Final answer
    x = 148,031.19

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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.