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Finding the Fourth Proportional to 458,069.49, 686,772.09 and 307,937.42

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Solution

The fourth proportional to 458,069.49, 686,772.09 and 307,937.42 is: 461,682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,069.49 : 686,772.09 = 307,937.42 : x
  2. Step 2: Convert to fraction form
    458,069.49/686,772.09 = 307,937.42/x
  3. Step 3: Cross multiply
    458,069.49x = 686,772.09 × 307,937.42
  4. Step 4: Simplify right side
    458,069.49x = 211,482,822,088.75
  5. Step 5: Solve for x
    x = 211,482,822,088.75/458,069.49
  6. Step 6: Final answer
    x = 461,682.84

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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.