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Finding the Fourth Proportional to 613,464.36, 920,342.46 and 192,740.40

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Solution

The fourth proportional to 613,464.36, 920,342.46 and 192,740.40 is: 289,156.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,464.36 : 920,342.46 = 192,740.40 : x
  2. Step 2: Convert to fraction form
    613,464.36/920,342.46 = 192,740.40/x
  3. Step 3: Cross multiply
    613,464.36x = 920,342.46 × 192,740.40
  4. Step 4: Simplify right side
    613,464.36x = 177,387,173,877.38
  5. Step 5: Solve for x
    x = 177,387,173,877.38/613,464.36
  6. Step 6: Final answer
    x = 289,156.45

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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.