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Finding the Fourth Proportional to 556,074.42, 830,042.09 and 477,692.34

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Solution

The fourth proportional to 556,074.42, 830,042.09 and 477,692.34 is: 713,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,074.42 : 830,042.09 = 477,692.34 : x
  2. Step 2: Convert to fraction form
    556,074.42/830,042.09 = 477,692.34/x
  3. Step 3: Cross multiply
    556,074.42x = 830,042.09 × 477,692.34
  4. Step 4: Simplify right side
    556,074.42x = 396,504,745,882.13
  5. Step 5: Solve for x
    x = 396,504,745,882.13/556,074.42
  6. Step 6: Final answer
    x = 713,042.59

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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.