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Finding the Fourth Proportional to 458,097.51, 687,145.81 and 313,861.21

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Solution

The fourth proportional to 458,097.51, 687,145.81 and 313,861.21 is: 470,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,097.51 : 687,145.81 = 313,861.21 : x
  2. Step 2: Convert to fraction form
    458,097.51/687,145.81 = 313,861.21/x
  3. Step 3: Cross multiply
    458,097.51x = 687,145.81 × 313,861.21
  4. Step 4: Simplify right side
    458,097.51x = 215,668,415,373.03
  5. Step 5: Solve for x
    x = 215,668,415,373.03/458,097.51
  6. Step 6: Final answer
    x = 470,791.50

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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.