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Finding the Fourth Proportional to 478,383.84, 716,185.68 and 278,093.52

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Solution

The fourth proportional to 478,383.84, 716,185.68 and 278,093.52 is: 416,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,383.84 : 716,185.68 = 278,093.52 : x
  2. Step 2: Convert to fraction form
    478,383.84/716,185.68 = 278,093.52/x
  3. Step 3: Cross multiply
    478,383.84x = 716,185.68 × 278,093.52
  4. Step 4: Simplify right side
    478,383.84x = 199,166,596,724.79
  5. Step 5: Solve for x
    x = 199,166,596,724.79/478,383.84
  6. Step 6: Final answer
    x = 416,332.20

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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.