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Finding the Fourth Proportional to 520,057.70, 778,531.35 and 309,587.30

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Solution

The fourth proportional to 520,057.70, 778,531.35 and 309,587.30 is: 463,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,057.70 : 778,531.35 = 309,587.30 : x
  2. Step 2: Convert to fraction form
    520,057.70/778,531.35 = 309,587.30/x
  3. Step 3: Cross multiply
    520,057.70x = 778,531.35 × 309,587.30
  4. Step 4: Simplify right side
    520,057.70x = 241,023,418,611.86
  5. Step 5: Solve for x
    x = 241,023,418,611.86/520,057.70
  6. Step 6: Final answer
    x = 463,455.15

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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.