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Finding the Fourth Proportional to 520,003.90, 778,693.65 and 415,027.90

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Solution

The fourth proportional to 520,003.90, 778,693.65 and 415,027.90 is: 621,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,003.90 : 778,693.65 = 415,027.90 : x
  2. Step 2: Convert to fraction form
    520,003.90/778,693.65 = 415,027.90/x
  3. Step 3: Cross multiply
    520,003.90x = 778,693.65 × 415,027.90
  4. Step 4: Simplify right side
    520,003.90x = 323,179,590,302.84
  5. Step 5: Solve for x
    x = 323,179,590,302.84/520,003.90
  6. Step 6: Final answer
    x = 621,494.55

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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.