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Finding the Fourth Proportional to 613,529.64, 920,177.82 and 208,740.24

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Solution

The fourth proportional to 613,529.64, 920,177.82 and 208,740.24 is: 313,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,529.64 : 920,177.82 = 208,740.24 : x
  2. Step 2: Convert to fraction form
    613,529.64/920,177.82 = 208,740.24/x
  3. Step 3: Cross multiply
    613,529.64x = 920,177.82 × 208,740.24
  4. Step 4: Simplify right side
    613,529.64x = 192,078,138,989.48
  5. Step 5: Solve for x
    x = 192,078,138,989.48/613,529.64
  6. Step 6: Final answer
    x = 313,070.68

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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.