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Finding the Fourth Proportional to 520,234.50, 717,981.96 and 293,894.58

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Solution

The fourth proportional to 520,234.50, 717,981.96 and 293,894.58 is: 405,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,234.50 : 717,981.96 = 293,894.58 : x
  2. Step 2: Convert to fraction form
    520,234.50/717,981.96 = 293,894.58/x
  3. Step 3: Cross multiply
    520,234.50x = 717,981.96 × 293,894.58
  4. Step 4: Simplify right side
    520,234.50x = 211,011,006,581.78
  5. Step 5: Solve for x
    x = 211,011,006,581.78/520,234.50
  6. Step 6: Final answer
    x = 405,607.48

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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.