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Finding the Fourth Proportional to 520,438.80, 779,929.20 and 414,004.80

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Solution

The fourth proportional to 520,438.80, 779,929.20 and 414,004.80 is: 620,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,438.80 : 779,929.20 = 414,004.80 : x
  2. Step 2: Convert to fraction form
    520,438.80/779,929.20 = 414,004.80/x
  3. Step 3: Cross multiply
    520,438.80x = 779,929.20 × 414,004.80
  4. Step 4: Simplify right side
    520,438.80x = 322,894,432,460.16
  5. Step 5: Solve for x
    x = 322,894,432,460.16/520,438.80
  6. Step 6: Final answer
    x = 620,427.29

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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.