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Finding the Fourth Proportional to 509,401.60, 702,980.60 and 279,983.96

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Solution

The fourth proportional to 509,401.60, 702,980.60 and 279,983.96 is: 386,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,401.60 : 702,980.60 = 279,983.96 : x
  2. Step 2: Convert to fraction form
    509,401.60/702,980.60 = 279,983.96/x
  3. Step 3: Cross multiply
    509,401.60x = 702,980.60 × 279,983.96
  4. Step 4: Simplify right side
    509,401.60x = 196,823,292,191.18
  5. Step 5: Solve for x
    x = 196,823,292,191.18/509,401.60
  6. Step 6: Final answer
    x = 386,381.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.