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Finding the Fourth Proportional to 556,520.58, 767,994.21 and 311,505.48

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Solution

The fourth proportional to 556,520.58, 767,994.21 and 311,505.48 is: 429,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,520.58 : 767,994.21 = 311,505.48 : x
  2. Step 2: Convert to fraction form
    556,520.58/767,994.21 = 311,505.48/x
  3. Step 3: Cross multiply
    556,520.58x = 767,994.21 × 311,505.48
  4. Step 4: Simplify right side
    556,520.58x = 239,234,405,023.27
  5. Step 5: Solve for x
    x = 239,234,405,023.27/556,520.58
  6. Step 6: Final answer
    x = 429,875.22

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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.