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Finding the Fourth Proportional to 556,375.59, 767,830.70 and 311,358.29

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Solution

The fourth proportional to 556,375.59, 767,830.70 and 311,358.29 is: 429,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,375.59 : 767,830.70 = 311,358.29 : x
  2. Step 2: Convert to fraction form
    556,375.59/767,830.70 = 311,358.29/x
  3. Step 3: Cross multiply
    556,375.59x = 767,830.70 × 311,358.29
  4. Step 4: Simplify right side
    556,375.59x = 239,070,450,700.75
  5. Step 5: Solve for x
    x = 239,070,450,700.75/556,375.59
  6. Step 6: Final answer
    x = 429,692.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.