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Finding the Fourth Proportional to 520,074.70, 778,384.05 and 377,514.70

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Solution

The fourth proportional to 520,074.70, 778,384.05 and 377,514.70 is: 565,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,074.70 : 778,384.05 = 377,514.70 : x
  2. Step 2: Convert to fraction form
    520,074.70/778,384.05 = 377,514.70/x
  3. Step 3: Cross multiply
    520,074.70x = 778,384.05 × 377,514.70
  4. Step 4: Simplify right side
    520,074.70x = 293,851,421,120.54
  5. Step 5: Solve for x
    x = 293,851,421,120.54/520,074.70
  6. Step 6: Final answer
    x = 565,017.72

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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.