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Finding the Fourth Proportional to 458,509.20, 686,451.60 and 406,021.20

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Solution

The fourth proportional to 458,509.20, 686,451.60 and 406,021.20 is: 607,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,509.20 : 686,451.60 = 406,021.20 : x
  2. Step 2: Convert to fraction form
    458,509.20/686,451.60 = 406,021.20/x
  3. Step 3: Cross multiply
    458,509.20x = 686,451.60 × 406,021.20
  4. Step 4: Simplify right side
    458,509.20x = 278,713,902,373.92
  5. Step 5: Solve for x
    x = 278,713,902,373.92/458,509.20
  6. Step 6: Final answer
    x = 607,869.81

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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.