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Finding the Fourth Proportional to 556,072.92, 830,039.85 and 477,690.84

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Solution

The fourth proportional to 556,072.92, 830,039.85 and 477,690.84 is: 713,040.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,072.92 : 830,039.85 = 477,690.84 : x
  2. Step 2: Convert to fraction form
    556,072.92/830,039.85 = 477,690.84/x
  3. Step 3: Cross multiply
    556,072.92x = 830,039.85 × 477,690.84
  4. Step 4: Simplify right side
    556,072.92x = 396,502,433,179.97
  5. Step 5: Solve for x
    x = 396,502,433,179.97/556,072.92
  6. Step 6: Final answer
    x = 713,040.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.