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Finding the Fourth Proportional to 521,294.82, 778,707.89 and 378,002.58

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Solution

The fourth proportional to 521,294.82, 778,707.89 and 378,002.58 is: 564,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,294.82 : 778,707.89 = 378,002.58 : x
  2. Step 2: Convert to fraction form
    521,294.82/778,707.89 = 378,002.58/x
  3. Step 3: Cross multiply
    521,294.82x = 778,707.89 × 378,002.58
  4. Step 4: Simplify right side
    521,294.82x = 294,353,589,596.34
  5. Step 5: Solve for x
    x = 294,353,589,596.34/521,294.82
  6. Step 6: Final answer
    x = 564,658.57

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1.5x scale

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.