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Finding the Fourth Proportional to 613,439.34, 920,346.81 and 314,131.85

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Solution

The fourth proportional to 613,439.34, 920,346.81 and 314,131.85 is: 471,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,439.34 : 920,346.81 = 314,131.85 : x
  2. Step 2: Convert to fraction form
    613,439.34/920,346.81 = 314,131.85/x
  3. Step 3: Cross multiply
    613,439.34x = 920,346.81 × 314,131.85
  4. Step 4: Simplify right side
    613,439.34x = 289,110,241,465.16
  5. Step 5: Solve for x
    x = 289,110,241,465.16/613,439.34
  6. Step 6: Final answer
    x = 471,293.94

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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.