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Finding the Fourth Proportional to 503,713.60, 754,879.20 and 410,401.60

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Solution

The fourth proportional to 503,713.60, 754,879.20 and 410,401.60 is: 615,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,713.60 : 754,879.20 = 410,401.60 : x
  2. Step 2: Convert to fraction form
    503,713.60/754,879.20 = 410,401.60/x
  3. Step 3: Cross multiply
    503,713.60x = 754,879.20 × 410,401.60
  4. Step 4: Simplify right side
    503,713.60x = 309,803,631,486.72
  5. Step 5: Solve for x
    x = 309,803,631,486.72/503,713.60
  6. Step 6: Final answer
    x = 615,039.24

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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.