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Finding the Fourth Proportional to 519,980.40, 778,658.40 and 415,004.40

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Solution

The fourth proportional to 519,980.40, 778,658.40 and 415,004.40 is: 621,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,980.40 : 778,658.40 = 415,004.40 : x
  2. Step 2: Convert to fraction form
    519,980.40/778,658.40 = 415,004.40/x
  3. Step 3: Cross multiply
    519,980.40x = 778,658.40 × 415,004.40
  4. Step 4: Simplify right side
    519,980.40x = 323,146,662,096.96
  5. Step 5: Solve for x
    x = 323,146,662,096.96/519,980.40
  6. Step 6: Final answer
    x = 621,459.31

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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.