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Finding the Fourth Proportional to 309,055.10, 463,507.72 and 84,416.58

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Solution

The fourth proportional to 309,055.10, 463,507.72 and 84,416.58 is: 126,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,055.10 : 463,507.72 = 84,416.58 : x
  2. Step 2: Convert to fraction form
    309,055.10/463,507.72 = 84,416.58/x
  3. Step 3: Cross multiply
    309,055.10x = 463,507.72 × 84,416.58
  4. Step 4: Simplify right side
    309,055.10x = 39,127,736,314.96
  5. Step 5: Solve for x
    x = 39,127,736,314.96/309,055.10
  6. Step 6: Final answer
    x = 126,604.40

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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.