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Finding the Fourth Proportional to 307,713.69, 461,607.39 and 290,917.53

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Solution

The fourth proportional to 307,713.69, 461,607.39 and 290,917.53 is: 436,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,713.69 : 461,607.39 = 290,917.53 : x
  2. Step 2: Convert to fraction form
    307,713.69/461,607.39 = 290,917.53/x
  3. Step 3: Cross multiply
    307,713.69x = 461,607.39 × 290,917.53
  4. Step 4: Simplify right side
    307,713.69x = 134,289,681,728.55
  5. Step 5: Solve for x
    x = 134,289,681,728.55/307,713.69
  6. Step 6: Final answer
    x = 436,411.14

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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.