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Finding the Fourth Proportional to 520,428.80, 717,971.82 and 348,402.18

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Solution

The fourth proportional to 520,428.80, 717,971.82 and 348,402.18 is: 480,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,428.80 : 717,971.82 = 348,402.18 : x
  2. Step 2: Convert to fraction form
    520,428.80/717,971.82 = 348,402.18/x
  3. Step 3: Cross multiply
    520,428.80x = 717,971.82 × 348,402.18
  4. Step 4: Simplify right side
    520,428.80x = 250,142,945,524.56
  5. Step 5: Solve for x
    x = 250,142,945,524.56/520,428.80
  6. Step 6: Final answer
    x = 480,647.78

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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.