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Finding the Fourth Proportional to 519,887.90, 778,519.65 and 341,428.70

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Solution

The fourth proportional to 519,887.90, 778,519.65 and 341,428.70 is: 511,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,887.90 : 778,519.65 = 341,428.70 : x
  2. Step 2: Convert to fraction form
    519,887.90/778,519.65 = 341,428.70/x
  3. Step 3: Cross multiply
    519,887.90x = 778,519.65 × 341,428.70
  4. Step 4: Simplify right side
    519,887.90x = 265,808,952,023.96
  5. Step 5: Solve for x
    x = 265,808,952,023.96/519,887.90
  6. Step 6: Final answer
    x = 511,281.28

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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.